asiaemtpub.com/wp-content/uploads/2018/12/supplement-14-no-1...asia life sciences the asian...

ASIA LIFE SCIENCES The Asian International Journal of Life Sciences

ISSN 0117-3375

Beyond Excellence© SUPPLEMENT 14, No. 1 MARCH 2017

SPECIAL ISSUE: BRIDGING INNOVATIVE TRENDS INPURE AND APPLIED MATHEMATICS

e-mails: [email protected] [email protected]

Website - http://www.sersc.org/journals/ALS/

©Rushing Water Publishers Ltd., 2017 Printed in the Philippines

Printed in the Philippines

ASIA LIFE SCIENCES The Asian International Journal of

Life Sciences Beyond Excellence©

©Rushing Water Publishers Ltd. 2017

ASIA LIFE SCIENCES -The Asian International Journal of Life Sciences (ISSN 0117-3375) is a non-profit, non-stock, refereed/peer-reviewed (double-blind review), international, scientific journal devoted to the publication of original research in the Life Sciences and other disciplines. Articles originating from anywhere in the world are most welcome. Two issues a year make a volume.

BOARD OF EDITORS - Asia Life Sciences Supplement 14(1), 2017Chairman & Chief Editor: Dr. William Sm. Gruèzo, 7288 Santosha Avenue corner

Astheya Street, Istana Lovina Bay Park, Puypuy, Bay 4033, Laguna, Philippines.Members: Dr. Yung-Cheol Byun, Department of Computer Engineering, Jeju

National University,102 Jejudaehak-ro, Jeju-si, Jeju-do, 690-756 South Korea. Dr. Liding Chen, State Key Laboratory of Urban and Regional Ecology, Research Center for Eco-Environmental Sciences, Chinese Academy of Sciences, Shuangqing Road 18, Haidian, Beijing 100085, China. Dr. Leonila A. Corpuz-Raros, Crop Protection Cluster, College of Agriculture, University of the Philippines Los Banos (UPLB), College 4031, Laguna. Dr. Maribel L. Dionisio-Sese, Plant Biology Division, Institute of Biological Sciences, College of Arts & Sciences-UPLB, College 4031, Laguna. Dr. Irineo J. Dogma Jr., Graduate School, University of Santo Tomas, España St., Manila. Dr. Agustine I. Doronila, School of Chemistry, University of Melbourne, Victoria 3010, Australia. Dr. Victor P. Gapud, Crop Protection Cluster, College of Agriculture, UPLB, College 4031, Laguna. Dr. Celeste Leiden G. Gruèzo DVM/MA, 7288 Santosha Avenue corner Astheya Street, Istana Lovina Bay Park, Puypuy, Bay 4033, Laguna. Dr. Krishlex G. Gruèzo MD, 81 Gov. F.T. San Luis Avenue, Masaya, Bay 4033, Laguna. Dr. Rafael D. Guerrero III, National Academy of Science and Technology, Level 3, Science Heritage Building, Deparment of Science and Technology Complex, Bicutan, Taguig City, MetroManila. Dr. Tai-hoon Kim, Department of Convergence Security, Sungshin Women’s University, Seoul, South Korea.

Technical Production Manager: Ydred Harriss G. GruèzoDeadlines for submission of manuscripts. First issue-01 July; Second issue-01 January.

Please contact the Chief Editor/Chairman, ALS Board of Editors (see addresses below).Subscription Prices. Foreign: Institutional - US$1000; Individual - US$800 (including

Volumes 1-26, 1992-2017 + 14 Supplements). Local: Institutional - PhP10,000; Individual - PhP8000 (including Volumes 1-26, 1992-2017 + 14 Supplements). Prepayment of order/back order is required. All issues are to be sent by air mail. Back orders will have an additional packing-handling and postage cost.

Send manuscripts, subscription orders and correspondence to: Dr. William Sm. Gruèzo, ASIA LIFE SCIENCES, The Asian International Journal of Life Sciences, 81 Governor F.T. San Luis Avenue, Masaya, Bay 4033, Laguna, Philippines. e-mails: [email protected] [email protected] Website: http://www.sersc.org/journals/ALS/


ISSN 0117-3375 Supplement 14 Number 1 March 2017

CONTENTS1 Strongly FI-cotorsion and Gorenstein FI-injective

modules V. Biju, R.Udhayakumar, A. Fentie & M. Parimala

7 mI-open sets and quasi-mI-open sets in terms of minimal ideal topological spaces M. Parimala, S. Jafari, S. Murali, M. Karuppusamy, R. Udhayakumar, V. Biju & R. Sathishkumar

13 Complementary domination in fuzzy graphs D. Umamageswari, N. Vinothkumar & P. Thangaraj

19 Fuzzy Hyper TM-Algebras K. Megalai & A. Tamilarasi 25 Obtaining inventory model for price discount with shortage, back ordering and rework M. Ravithammal R. Uthayakumar & S. Ganesh33 Integrated inventory model for multi-echelon multi-constraints with quantity discount and coordination supply chain by using Lagrange multiplier technique P. Muniappan, R. Uthayakumar & S. Ganesh43 Twain positive and negative domination in bipolar fuzzy graphs S. Sivamani & V. Mohanaselvi51 Intuitionistic fuzzy ψ closed and open mappings in topological spaces C. Indirani & M. Parimala Cont. on Next Page

Reviewers for this Issue: Please refer to pages 295-299 of this Issue.

©Rushing Water Publishers Ltd. 2017 Printed in the Philippines

Contents59 On independent rebellion number in graphs P. Shyamala Anto Mary &

V. Mohana Selvi69 Discrete time Geo/G/1 queue with randomized threshold

and single vacation S. Jeyakumar & P. Gunasekaran 77 Matching Pursuit algorithm for stationary wavelet

transformation on EEG signals V.R. Vinothini, P. Thangaraj & K. Sakthisudhan

85 On α-generalised closed sets in ideal minimal spaces D. Arivuoli & M. Parimala

93 On MIαψ closed sets in terms of ideal minimal structure spaces R. Jeevitha & M. Parimala

103 Cache oblivious approach for rectangular matrix multiplications through rectangular Peano curves K. Navaneetham, S. Jeya Bharathi & K. Thiagarajan

115 A brief note on generalized Petersen graph V. Yegnanarayanan & P. Vijayalakshmi

125 Coefficient bounds for certain subclasses of bi-univalent functions M. Revathi & B. Srutha Keerthi

133 Computation of free vibrations of multi-layered magneto-electro-elastic composite plate

S. Karthikeyan & G. Suganthi 149 Algorithmic approach of triple connected digraphs with

MATLAB technique B. Vijayalakshmi & R. Poovazhaki

157 Bio-mathematical model to determine the resonant frequencies of piezo-electric cylindrical transducers

used in Biosensors by Rayleigh Ritz method S. Karthikeyan & S. Rama 167 Line set domatic number of graphs P. Solairani & R. Poovazhaki

Contents175 A generalization of Pk(r, m) and Pk’(r, m)

seminear-rings R. Perumal, P. Chinnaraj & R. Balakrishnan

181 Coefficient estimates for certain subclasses of meromorphic bi-univalent functions S. Prema &

B. Srutha Keerthi 193 An efficient swarm-based weather forecasting

approach with fuzzy k-nearest neighbor classification technique R. Rajkumar, A. James Albert & D. Chandrakala

205 A brief note on distance graphs V. Yegnanarayanan, R. Srikanth & M. Santhi 213 Chromatic weakly convex domination of a graph

E. Helena & R. Poovazhaki 223 Graceful labeling of Dm(Pn) K. Vengata Krishnan, D. Lalitha & P. Punithavathy 229 Certain subclass of meromorphic functions associated

with q-hypergeometric series P. Lokesh & B. Srutha Keerthi 247 Array CAPTCHAs (Completely Automated Public

Turing test to tell Computer and Human Apart) S. Vaithyasubramanian 255 A common fixed point theorem in intuitionistic fuzzy

metric space S. Krishnaveni, T. Esakkiappan & P. Thangaraj

263 Dominating node-based clustering algorithm to increase the lifetime of wireless sensor network K. Thiagarajan, R. Satheesh Babu & K.Saranya

279 Language study on Graphene structure K. Thiagarajan & J. Padmashree

Contents295 Reviewers - Asia Life Sciences Supplement 14,

Number 1, 2017300 Board of Editors - Asia Life Sciences Supplement 14, Number 1, 2017301 National Conference On Bridging Innovative Trends in Pure and Applied Mathematics (BITPAM’16)- Organizing Committee

Actual Date of Publication: Asia Life Sciences Supplement 14, Number 1, 2017 - 31 March 2017

Beyond Excellence©81 Governor F.T. San Luis Avenue, Masaya, Bay 4033, Laguna, Philippines

Celfone nos. (063) (049) 0916-526-0164; 0915-360-4660e-mails: [email protected] [email protected]

http://www.sersc.org/journals/ALS/©Rushing Water Publishers Ltd., Philippines 2017

Asia Life Sciences has an Impact Factor of 0.180The papers published in Asia Life Sciences are indexed/covered by CABI, Wallingford, Oxon, UK

(CAB Abstracts, CAB Global Health); China National Knowledge Infrastructure (CNKI), 66 Xixiaokou Avenue, Haidian District, Beijing, China; SCOPUS, Elsevier B.V., Radarweg 29, 1043

NX, Amsterdam, The Netherlands and Biological Abstracts, Zoological Record, SciSearch®/Science Citation Index Expanded, Journal Citation Reports/Science Edition, BIOSIS Previews, ISI Web of

Science® and ISI Web of Knowledge®, USA.

Asia Life Sciences is a recipient of the Journal AccreditationAward of the Commission on Higher Education (CHED),

Republic of the Philippines (2010-2016).

Printed on acid-free papers


ASIA LIFE SCIENCES Supplement 14, Number 1: 1-6, 2017The Asian International Journal of Life Sciences

Received 05 February 2017; Accepted 14 February 2017©Rushing Water Publishers Ltd. 2017

Strongly FI-cotorsion and Gorenstein FI-injective modules

V. BIJU1, R. UDHAYAKUMAR2,*, ABRHAM FENTIE1

and M. PARIMALA2

In this paper, we first introduced the concepts of FI-cotorsion modules and Strongly FI-torsion free modules and hence, study the behavior of them over FI-Gorenstein ring. For example, we first proved every strongly FI-cotorsion left R-module M is Gorenstein FI-injective over an FI-Gorenstein ring R and secondly, we proved over a right Noetherian ring R with Finite FI-injective dimension of R, then, a left R-module is FI-injective if it is strongly FI-cotorsion with finite FI-flat dimension. Finally, we provided a proof that a left R-module M is Gorenstein FI-injective if and only if it is strongly FI-cotorsion and also proved that a right R-module N is Gorenstein FI-flat if and only if it is strongly FI-torsion free over a FI-Gorenstein ring R with the FI-injective envelope of R is FI-flat.

Keywords: Gorenstein FI-injective module, FI-cotorsion module, strongly FI-torsion free modules, FI-Gorenstein ring

1Department of Mathematics, College of Natural and Computational Sciences, Debre Markos University, Ethiopia

2Department of Mathematics, Bannari Amman Institute of Technology (BIT), Sathyamangalam, Erode – 638 401, Tamil Nadu, India

*Corresponding author: e-mail - [email protected]



Received 26 January 2017; Accepted 14 February 2017©Rushing Water Publishers Ltd. 2017

mI-open sets and quasi-mI-open sets in terms of minimal ideal topological spaces

M. PARIMALA1,*, S. JAFARI2, S. MURALI3, M. KARUPPUSAMY1, R. UDHAYAKUMAR1, V. BIJU4

and R. SATHISHKUMAR1

The purposes of this paper were to introduce a new type of open sets called mI-open sets and quasi mI-open sets in minimal ideal topological spaces and investigate the relation between minimal structure space and minimal ideal structure spaces. Basic properties and characterizations related to these sets are given.

Keywords: minimal ideals, minimal local functions, topological ideals, minimal ideal structure

1Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam- 638401, Tamil Nadu, India

2Department of Mathematics, College of Vestsjaelland South, Herrestraede 11, 4200 Slagelse, Denmark

3Department of Mathematics, Jansons Institute of Technology, Karumathampatti-641659, Tamil Nadu, India

4Department of Mathematics, College of Natural and Computational Sciences, Debre Markos University, Ethiopia





Complementary domination in fuzzy graphs

D. UMAMAGESWARI1, N. VINOTHKUMAR1,* and P. THANGARAJ2

The aim of this study was to define the complementary domination set and complementary domination number )(Gg . Further, it discussed the properties and bounds of the complementary domination number of the fuzzy graphs.

Keywords: f uzzy graph, fuzzy domination, complementary fuzzy domination, complementary fuzzy domination number

1Department of Mathematics, Bannari Amman Institute of Technology (BIT), Sathyamangalam,

Erode – 638 401, Tamil Nadu, India2Department of Computer Science, Bannari Amman Institute of Technology (BIT), Sathyamangalam, Erode – 638 401, Tamil Nadu, India

*Corresponding author: e-mail – [email protected]




Fuzzy Hyper TM-algebras

K. MEGALAI1* and A. TAMILARASI2

In this paper, the notion of a hyper TM-algebra, which is a generalization of TM-algebra is introduced, and some basic properties of this algebra are proved.

Keywords: hyper TM-algebra, hyper TM-ideal, weak hyper TM-ideal

1Bannari Amman Institute of Technology, Sathyamangalam 638401, Tamil Nadu, India

2Kongu Engineering College, Perundurai, India*Corresponding author: e-mail - [email protected]




Obtaining inventory model for price discount with shortage, back ordering and rework

M. RAVITHAMMAL1*, R. UTHAYAKUMAR2 and S. GANESH3

In this paper, we derived inventory model for price discount policy with backordering and rework process. This paper provides an easy way (basic analytical geometry and algebraic concept) of obtaining optimal back orders and economic order quantity without using any differential calculus methods. This approach is used to derive the optimal values, for persons who lack the knowledge in calculus. In addition, integrated system cost is presented for system optimization. Finally, numerical examples are given to illustrate the proposed model. Keywords: inventory, production, price discount, back ordering, rework

1Research Scholar, Department of Mathematics, Sathyabama University, Chennai – 600 119, Tamil Nadu, India

2Department of Mathematics, Gandhigram Rural Institute-Deemed University, Dindigul – 624 302, Tamil Nadu, India

3Department of Mathematics, Sathyabama University, Chennai – 600 119.Tamil Nadu, India.*Corresponding author: Assistant Professor, Department of Mathematics, Vels University, Chennai –

600 117, Tamil Nadu, India e-mail: [email protected]


ASIA LIFE SCIENCES Supplement 14,Number 1: 33-41, 2017The Asian International Journal of Life Sciences


Integrated inventory model for multi-echelon multi-constraints with quantity discount and coordination supply chain by using Lagrange multiplier technique

P. MUNIAPPAN1,*, R. UTHAYAKUMAR2 and S. GANESH1

In this paper, integrated system cost is found out for buyer-vendor by considering the strategies of coordination and non-coordination. In non-coordination, shortages are allowed for the buyer and vendor makes an arrangement for damaged products (screened or disposed). In coordination, vendor offers quantity discount to the buyer if the buyer’s order size is larger than regular quantity. In this strategy, shortages are not allowed for the buyer and buyer makes an arrangement for damaged products. In addition, for both cases, warehouse capacity constraint and inventory level constraint are also considered. In the proposed model a basic analytical geometry and algebraic method is used to determine the optimum values (back order level and ordered quantity) for minimizing the integrated system cost while the optimum values satisfying the constraints. This kind of problem is solved by using Lagrange’s multiplier technique. Finally, numerical examples are presented to illustrate the proposed model. Keywords: inventory, EOQ, coordination, Lagrange multiplier, quantity discount, back

ordering, rework

1Department of Mathematics, Sathyabama University, Chennai – 600 119, Tamil Nadu, India 2Department of Mathematics, Gandhigram Rural Institute-Deemed University, Dindigul - 624 302,

Tamil Nadu, India*Corresponding author: Research Scholar, Sathyabama University, Chennai – 600 119, Tamil Nadu,

India e-mail: [email protected]




Twain positive and negative domination in bipolar fuzzy graphs

S. SIVAMANI1,* and V. MOHANASELVI2

The domination number is a well known parameter in graph theory. Karunambigai, Akram, Palanivel and Sivasankar (2013) have studied the domination concept for bipolar fuzzy graph (BFG). In which, the strong edge concept is a main tool, but it has to satisfy the conditions both in positive and negative membership values of the vertices and hence, the domination number does not exist for some graphs. To avoid this, in this paper, for BFG we introduced the domination concepts separately for both positive and negative membership values and named as twain positive and twain negative domination. Also, we established the upper and lower bound of this domination parameter in terms of order, size and degree of a BFG and given the necessary and sufficient conditions for the minimality and maximality of twain positive and negative dominating sets in BFG. Further, we defined and studied the twain positive and negative independent domination number.

Keywords: bipolar fuzzy graph, positive strong edge, negative strong edge, twain positive & negative dominating sets, twain positive and negative domination numbers, twain positive and negative independent dominating sets, twain positive and negative independent domination numbers

1Department of Mathematics, Saranathan College of Engineering, Trichy, India 2PG & Research Department of Mathematics, Nehru Memorial College (Autonomous), Trichy, India

e-mail: [email protected]*Corresponding author: e-mail - [email protected]




Intuitionistic fuzzy ψ closed and open mappings in topological spaces

C. INDIRANI1,* and M. PARIMALA2

The paper proposes to study the concepts of intuitionistic fuzzy ψ closed mappings and intuitionistic fuzzy ψ open mappings in intuitionistic fuzzy topological spaces. We analyse certain properties to find out the relation between intuitionistic fuzzy ψ closed and open mappings with the other existing mappings.

Keywords: Intuitionistic fuzzy ψ closed set, Intuitionistic fuzzy ψ open set, Intuitionistic fuzzy ψ closed mappings, Intuitionistic fuzzy ψ open mappings, Intuitionistic fuzzy

semi -T 2/1 space.

1Research Scholar, Department of Mathematics, Research and Development Centre, Bharathiar University, Coimbatore, Tamil Nadu, India.

2Department of Mathematics, Bannari amman Institute of Technology, Sathyamangalam, Erode, Tamil Nadu, India e-mail - [email protected]





On independent rebellion number in graphs

P. SHYAMALA ANTO MARY1,* and V. MOHANA SELVI2

Alliance structure plays a vital role in social networks and it is used, to study the important characteristic of similarity networks in natural and unnatural objects. For studying the co-alliance set the authors already introduced the rebellion concept by interchanging the inequalities in the alliance set. In this paper, the independence property of the rebellion set is studied and defined independent rebellion number. The tight bounds of independent rebellion number and maximum independent rebellion number are obtained for some standard graphs. Also, the parameter is characterized and its relationship with other parameters is studied.

Keywords: domination number, independent domination number, rebellion number, independent rebellion number, maximum independent rebellion number

1Department of Mathematics, Jayaram College of Engineering & Technology, Thuraiyur, India2PG & Research Department of Mathematics, Nehru Memorial College (Autonomous), Trichy, India





Discrete time Geo/G/1 queue with randomized threshold and single vacation

S. JEYAKUMAR1 and P. GUNASEKARAN2,*

This paper gives a brief knowledge on discrete time scheduling of Geo/G/1 queue with (p, N) policy, namely: threshold and single vacation queue. Finally, all the customers are served in the queue, the server starts its service with probability p, only when N number (N-fixed count) of customers are gathered in the queue. Otherwise, the server does not offer their own service for probability of 1-p. If the queue length is reaches to N server, again server starts service with probability p. The server takes their own vacation, when the system becomes empty and the server starts its process, after the queue length reaches the threshold value N. By generating function technique, we can attain PGF at an arbitrary epoch and the performance measure can derive analytical declaration for mean queue length. In numerical examples, we talk about mean queue size in different possible ways.

Keywords: Geo/G/1 queue, vacation time, service time, Markov chain, mean queue length, threshold policy

1Department of Mathematics, Government Arts College, Coimbatore, Tamil Nadu, India2Department of Mathematics, Bannari Amman Institute of Technology (BIT), Sathyamangalam,

Erode – 638 401, Tamil Nadu, India*Corresponding author: e-mail- [email protected]



Received 05 February 2017; Accepted 10 March 2017©Rushing Water Publishers Ltd. 2017

Matching Pursuit algorithm for stationary wavelet transformation on EEG signals

V.R. VINOTHINI1*, P. THANGARAJ 2 and K. SAKTHISUDHAN3

The Stationary Wavelet Transform (SWT) decomposition of signals is proposed in this paper. The Matching Pursuit (MP) algorithm offers an anti-interference of EEG signals. The Matching Pursuit (MP) algorithm investigates the weak signals from a noisy structure. It improves the efficiency of finding the frequency-time atoms and rapid noise rectification.The experiment results are investigated up to 100 iterations and reduction of noise in weak signals was consistently observed.

Keywords: signal processing; Matching Pursuit algorithm, wavelet transform, EEG signals

1Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam, Erode-638 401, Tamil Nadu, India

2Department of Computer Science and Engineering, Bannari Amman Institute of Technology, Sathyamangalam-638 401, Tamil Nadu, India

3Department of Electronics and Communication Engineering, Adhi College of Engineering and Technology, Kanchipuram-601 605, Tamil Nadu, India





On α-generalised closed sets in ideal minimal spaces

D. ARIVUOLI1 and M. PARIMALA2,*

The purpose of this paper is to introduce a new type of generalised closed sets and open

sets called mIαg-closed sets and mIαg-open sets in ideal minimal spaces. We studied some of their basic properties in ideal minimal spaces and also obtained some characterisation of mIαg sets. Moreover, we defined mIαg continuous and mIαg contra continuous functions, studied some properties and characterisation of these functions.

Keywords: m-structure, m-Ig-closed set, mIg∗-closed set, mIαg-closed sets, mIαg- continuous functions, mIαg-contra continuous functions

1Research Scholar, Research and Development Center, Bharathiar University, Coimbatore,Tamil Nadu, India

2Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam,Tamil Nadu, India





On MIαψ closed sets in terms of ideal minimal structure spaces

R. JEEVITHA1 and M. PARIMALA2,*

In this paper, we introduced a new concept of ideal minimal structure spaces called mIαψ closed set. We investigated the relationship between mIαψ closed set with some existing sets in ideal minimal spaces and studied some of their properties. Further we discussed about the mIαψ continuous functions and derive some of their properties.

Keywords: mIαψ closed set, mIαψ continuous

1Research Scholar, Research and DevelopmentCenter, Bharathiar University, Coimbatore, Tamil Nadu, India e-mail: [email protected]

2Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam, Tamil Nadu, India





Cache oblivious approach for rectangular matrix multiplications through rectangular Peano curves

K. NAVANEETHAM1,*, S. JEYA BHARATHI2 and K. THIAGARAJAN3

The principle idea of cache oblivious model is to design external-memory algorithms without knowing the parameters of cache. In this paper, a cache oblivious model is presented for multiplications of two rectangular matrices. This algorithm uses rectangular block recursive formations and elements numbering schemes that are based on Rectangular Peano curves. It can minimize the number of cache misses by neglecting index jumps on any cache level. Moreover, in the resulting code of matrix multiplication, index jumps can be totally avoided.

Keywords: cache oblivious algorithm, matrix multiplication, peano curve, rectangular space filling curves, grammar, index jumps

1Research Scholar (PhD-CB JUL2013-0269), Bharathiar University, Coimbatore, India and Assistant Professor, Pacheri Sri Nallathangal Amman College of Engineering & Technology, Dindigul, India

2Professor, Thiagarajar College of Engineering, Madurai, India e-mail: [email protected] 3Associate Professor, Pacheri Sri Nallathangal Amman College of Engineering & Technology,

Dindigul, India e-mail: [email protected]*Corresponding author: e-mail - [email protected]




A brief note on generalized Petersen graph

V. YEGNANARAYANAN1,* and P. VIJAYALAKSHMI2

In parallel computing and computer networks, several different topologies for interconnecting processing vertices exist. It is quite an enormous task to compare such networks with reference to attributes such as diameter, average distance, traffic balance, fault tolerance, etc. In order to overcome the inherent drawbacks in ring topology, it is suggested to have a P-vertex ring that could lead to a double ring network. These notions have led to the generalised Petersen graph. Let p≥3 be a positive integer and let k ϵ{1,2,… p-1}\⌊p/2⌋. The generalized petersen graph GP((p, k) has its vertex and edge set as V(GP(p ,k))={u_(i ):i ϵZp }∪{u_i^’∶iϵZp} E(GP(p ,k))={u_(i ) u_(i+1):iϵZp }∪{u_i^’ u_(i+k)^’∶i ϵZp} ∪{u_(i ) u_i^’:i ϵ Zp}. They form a pertinent family of 3-connected, 3-regular graphs with 2p vertices and 3p edges. These graphs are generally used in interconnection networks. The Petersen Graph is definitely a sought after objects among the graph theory community. It has served as a counter example to several open problems and conjectures. Even though it is cubic and without cut edges is not 1-factorizable and non-hamiltonian. Another surprising aspect is that it is highly symmetric even though its automorphism graph on directed paths of length three is transitive. In this paper, we probe its spectrum and determine its Estrada index, Laplacian Estrada index, signless Laplacian Estrada index, normalized Laplacian Estrada index and energy of a graph. While obtaining some interesting results, we also provide relevant background and problems.

Keywords: graphs, generalized Petersen graph, Spectrum, Estrada Index, Laplacian Estrada Index, normalized Estrada Index, signless Laplacian Estrada Index, energy of a graph

1Department of Humanities and Sciences, SASTRA University, Thanjavur-613401, Tamil Nadu, India2Department of Mathematics, SRC, SASTRA University, Kumbakonam, Tamil Nadu, India*Corresponding author: e-mail - [email protected]




Coefficient bounds for certain subclasses of bi-univalent functions

M. REVATHI1* and B. SRUTHA KEERTHI2

There are many subclasses of analytic and univalent functions. Following the works of Brannan and Taha (1986)(see also Brannan, Clunie & Kirwan 1970 and Ma-Minda 1992) on analytic and univalent fumctions. In this paper, we introduceD and investigateD a new subclass of the function class for a family of analytic and bi-univalent functions in the open unit disk D. For functions belonging to the class we have attempted to obtain coefficient estimates on the first two Taylor-Maclaurin coefficients |a2|, |a3| and upper bounds of .The result derived in this paper would generalize those in related works of several earlier authors. Several (known or new) consequences of the results are also pointed out.

Keywords: analytic functions, univalent functions, starlike function, convex function, bi-univalent functions, coefficient bounds and coefficient estimates, subordination, upper bound

1Research Scholar, Department of Mathematics, Bharathiar University, Coimbatore, Tamil Nadu, India

2Mathematics Division, School of Advanced Sciences , VIT University Chennai Campus, Vandallur Kellambakkam Road, Chennai - 600 127, India e-mail: [email protected]





Computation of free vibrations of multi-layered magneto-electro-elastic composite plate

S. KARTHIKEYAN1 and G. SUGANTHI2,*

This paper presents the wave propagation of three dimensional magneto-electro-elastic rectangular plate under simply supported (s) and clamped (c) edge conditions. The composite plate can be formed by perfect bonding between a piezoelectric or/and piezomagnetic layers. The linear constitutive equations are defined using the Maxwell’s equilibrium equations. The approximate solutions are obtained by combining homogeneous layered plates with the Galerkin method using Gaussian Quadrature. The finite element equations of multilayered composite plate are derived ,which consists of consecutive layers of piezo-electric material (as Barium Titanate) or/and piezo magnetic material (as Cobalt Ferrite). The natural frequencies are obtained for the given boundary conditions. The dispersion curves between the wave number and natural frequency of SSSS and SCSC edge conditions are drawn. The frequency and mode shape will be useful in analyzing and designing smart sensors and actuators of different geometry of composite material

Keywords: Finite Element method, multilayered plate, natural frequency, simply supported edge, clamped edge

1Department of Mathematics, Government Arts College (Autonomous), Tamil Nadu, Salem – 636007, India

2Department of Mathematics, Sona College of Technology (Autonomous), Tamil Nadu, Salem – 636005, India





Algorithmic approach of triple connected digraphs with MATLAB technique

B. VIJAYALAKSHMI1,* and R. POOVAZHAKI2

The concept of connectedness plays an important role in many networks. Digraphs are considered as an excellent modeling tool and are used to model many types of relations amongst any physical situations. The application of digraph theory in neural networks seems to be more appropriate and would be used to improve interdisciplinary exchange. In this paper the concept of triple connected directed graph D has been introduced by considering the existence of directed path containing three vertices of D. A digraph D is said to be triple connected if any three vertices lie on a directed path in D. This paper explores triple connected digraphs expressing in algorithmic way and MATLAB code for its implementation. The MATLAB codes are experimentally evaluated for various types of digraphs.

Keywords: connected digraphs, triple connected digraph, tournament, algorithm

1Department of Mathematics, Mount Carmel College, Bangalore, India2Department of Mathematics, E.M.G.Yadava Women’s College, Madurai, India*Corresponding author: e-mail - [email protected]




Bio-mathematical model to determine the resonant frequencies of piezo-electric cylindrical transducers used in Biosensors by Rayleigh Ritz method

S. KARTHIKEYAN1 and S. RAMA2,*

In Biosensors, one major component part is transducers which are made of smart materials like ferroelectric materials, piezoelectric materials and pyro-electric materials. In this paper, the resonant frequencies of hollow cylinder made of piezo-electric materials have been determined. The flexural vibration analysis of piezo-electric hollow cylinder has been made. The governing equations which include the stress, strain and electric field have been solved using the constitutive equations of piezoelectric by the finite element Rayleigh Ritz method. The numerical results have been carried out for PZT4 materials. The different dimensions of the hollow cylinders which are used in real life applications have been considered and the results are compared to obtain the optimum usability of these transducers. The frequency spectrum of PZT4 material under harmonic motion with different wave numbers has been obtained and the convergence analysis using residual error with Euclidean norm for different mesh size has been carried out.

Keywords: piezo-electric, hollow cylinder, biosensors, Rayleigh-Ritz method, resonant frequencies

1Department of Mathematics, Government Arts College, Salem - 636 007, Tamil Nadu, India 2Department of Mathematics, Mount Carmel College, Bangalore - 560 016, Karnataka, India*Corresponding author: e-mail - [email protected]




Line set domatic number of graphs

P. SOLAIRANI1,* and R. POOVAZHAKI2

Let G(V, E) be a graph. A set )(GEDl ⊆ is said to be Line set dominating set of G if every subset lDGES −⊆ )( there exist an edge lDe∈ such that the sub graph { }eS induced by }{eS is connected. A Line set domatic partition of a graph G(V, E) is a collection of pair wise disjoint line set dominating set of graph G whose union is E(G). The maximum number of classes of a line set domatic partition of G is called the line set domatic number of G and it is denoted by )(' Gdl .In this paper, exact value of Line set domatic number for the some standard graphs bounds and interesting results are obtained.

Keywords: dominating set, line set dominating set, line set domatic number

1Assistant Professor, Department of Mathematics, R.V.S.College of Arts and Science, Sulur, Coimbatore,Tamil Nadu, India

2Principal & Head of the Department of Mathematics, E.M.G. Yadava Women’s College, Madurai. Tamil Nadu, India





A generalization of Pk(r, m) and Pk’(r, m) seminear-rings

R. PERUMAL1, P. CHINNARAJ2* and R. BALAKRISHNAN3

In this paper, we introduced the notion of Pk(r, m) and Pk’(r, m) seminear-rings by way of generalizing the concepts of Pk and Pk’ seminear-rings. We discussed the properties of Pk and Pk’ seminear-rings under certain conditions. We also obtained a characterization of Pk(r, m) and Pk’(r, m) seminear-rings.

Keywords: Pk seminear-ring, Pk’ seminear-ring, Pk(r, m) seminear-ring, mate function

1Department of Mathematics, SRM University, Kattankulathur-603203, Tamil Nadu, India2Department of Mathematics, PSG Institute of Technology and Applied Research,

Coimbatore-641603, Tamil Nadu, India3Department of Mathematics, V.O.C. College, Thoothukudi-628008, Tamil Nadu, India*Corresponding author: e-mail – [email protected]




Coefficient estimates for certain subclasses of meromorphic bi-univalent functions

S. PREMA1,* and B. SRUTHA KEERTHI2

A univalent meromorphic function we defined on D:={z C:1<|z|< } with univalent inverse defined on D is bi-univalent meromorphic in D. We defined for certain subclasses of meromorphic bi-univalent functions. We obtained estimates on the initial co-efficients. There are many subclasses of analytic and univalent functions. Following the works of Brannan and Taha (1986), Frasin and Aouf (2011) (see also Goodman 1983 and Ma-Minda Bazilevic 1955) on analytic and univalent fumctions, in this paper, we introduce and investigate a new subclass of the function class .

Keywords: analytic functions, univalent functions, starlike function, convex function, bi-univalent functions, coefficient bounds, coefficient estimates, subordination, upper bound

1Research Scholar, Department of Mathematics, Bharathiar University, India 2Mathematics Division, School of Advanced Sciences, VIT University Chennai Campus, Vandallur

Kellambakkam Road, Chennai - 600 127, India e-mail: [email protected]*Corresponding author: e-mail - [email protected]




An efficient swarm-based weather forecasting approach with fuzzy k-nearest neighbor classification technique

R. RAJKUMAR1*, A. JAMES ALBERT2 and D. CHANDRAKALA3

Weather forecasting is most often used to make important decisions on a daily basis and a phase of human lives. Forecasting is subjective to reduce property damage, save lives, reduce crop damage and general public aspect. The adverse weather conditions affect the end users, generally public members. This work mainly focuses on making alert warning by providing some precautions, using prediction mechanisms in which the information are useful and understandable to the end users. Modern weather forecasting alerts or advisories are given when severe and hazardous weather is expected. This work tries to predict the weather conditions with Genetic Algorithm (GA) using Adaptive Neuro Fuzzy Inference System (ANFIS). Initially, human input is required to pick the best possible forecast model such as data pre-processing and integration to remove artifacts and noises. The use of model consensus helps to normalize the feature relating to weather; thus, providing minimum and maximum values. This normalization undergoes the process of recognizing future weather conditions. The results show the classified weather conditions such as cloudy, sunny, rainy, etc. using the Fuzzy K-Nearest Neighbor Algorithm (FKNN) to predict the weather conditions effectively. Proposed FKNN performs better than the other classification models such as Back Propagation Neural Network (BPNN) and the Neural Network (NN) classifier since the proposed forecasting model performs two major steps such as feature selection and data assimilation to increase weather forecasting results. However, the proposed FKNN weather forecasting model produces accuracy results of 93.2 % which is 8.2 and 19.2 % higher when compared to BPNN and NN classifiers, respectively. The quantitative data about the current state of the weather are extracted from the large database by analyzing, collecting and mining data.

Keywords: weather forecasting, genetic algorithm, adaptive neuro fuzzy inference system, Fuzzy K-Nearest Neighbor algorithm, Back Propagation Neural Network, data assimilation

1Assistant Professor, Department of Mathematics, Kumaraguru College of Technology, Coimbatore-641049, India

2Professor & Head, Department of Science and Humanities, Hindustan College of Engineering and Technology, Coimbatore-641032, India

3Professor, Department of Computer Science, Kumaraguru College of Technology, Coimbatore-641049, India*Corresponding author: e-mail - [email protected]




A brief note on distance graphs

V. YEGNANARAYANAN1,*, R. SRIKANTH1 and M. SANTHI2

Let D be a set of positive integers. The distance graph generated by D has all integers Z as the vertex set; two vertices are adjacent whenever their absolute difference falls in D. We determine: (i) The upper and lower bounds for the chromatic number of the distance graphs with distance set D as a set of primitive Pythagorean numbers less than 10,000; (ii) D is a set of Pythagorean numbers less than 10,000; (iii) D is a set of twice Pythagorean numbers less than 10,000; (iv) D is a set of thrice Pythagorean numbers less than 10,000; (v) D is a set of cardinality 3 consisting of thrice Pythagorean numbers;(vi) D is a set of

distinct quadruples of the form {a, b, , , }.

Keywords: graphs, distance graph, chromatic number, Pythagorean number

1School of Humanities and Sciences, SASTRA University, Thanjavur 613 401, India2Department of Mathematics, SRC, SASTRA, Kumbakonam, Tamil Nadu, India*Corresponding author: e-mail - [email protected]




Chromatic weakly convex domination of a graph

E. HELENA1,* and R. POOVAZHAKI2

A chromatic weakly convex domination is defined as follows: A weakly convex dominating set D of a graph G = (V, E) is said to be a Chromatic weakly convex dominating

set if )()( ><= DG χχ . A Chromatic weakly convex domination number )(Gcwcγ of G is the minimum cardinality of a Chromatic weakly convex dominating set. We introduce and discuss the concept of chromatic weakly convex domination number of a graph G. In

this paper, We determine )(Gcwcγ for some standard graphs and present some bounds for

)(Gcwcγ .

Keywords: weakly convex dominating set, chromatic number, chromatic weakly convex dominating set

1Department of Mathematics, Fatima College, Madurai-625 018, India 2Department of Mathematics, E.M.G. Yadava Women’s College, Madurai-625 014, India





Graceful labeling of Dm(Pn)

K. VENGATA KRISHNAN1,*, D. LALITHA2,a and P. PUNITHAVATHY2,b

A m-Shadow graph of connected graph G is constructed by making m-copies of G, say G1, G2, ..., Gm and joining each vertex uj in Gj with the neighbors of the corresponding vertex uk in Gk, for distinct values of i, k. In this paper we discuss the graceful labeling of m-shadow graph of a path Pn.

Keywords: graph labeling, graceful labeling, shadow graph

1Research Scholar, Sathyabama University, Chennai–600 119. Tamil Nadu, India 2Department of Mathematics, Sathyabama University, Chennai–600 119. Tamil Nadu, India

e-mails: [email protected], [email protected]

*Corresponding author: e-mail: [email protected]




Certain subclass of meromorphic functions associated with q-hypergeometric series

P. LOKESH1,* and B. SRUTHA KEERTHI2

A new subclass of meromorphic functions with a fixed point defined in the punctured unit disk involving the q-hypergeometric functions is introduced and discussed in this paper. The coefficient inequalities, growth and distortion inequalities, and closure results for functions

were obtained. Furthermore, some

results concerning convolution and the partial sums were established.

Keywords: analytic function, univalent function, starlike function, meromorphic, Hadamard product, q-hypergeometric function

1Research Scholar, Department of Mathematics, Bharathiar University, Coimbatore, India 2Mathematics Division, School of Advanced Sciences, VIT University, Chennai Campus, Vandallur

Kellambakkam Road, Chennai - 600 127, India e-mail: [email protected]*Corresponding author: e-mail - [email protected]




Array CAPTCHAs (Completely Automated Public Turing test to tell Computer and Human Apart)

S. VAITHYASUBRAMANIAN1

Since the start of the Internet, numerous users have endeavored to abuse websites for both amusement and advantage. As the misuse got to be beneficial, the size of misuse developed utilizing computerized programming. To keep bots from invading destinations with spam, publishers act in response by testing users whether they were human or not. An exploration reaction test regularly put in web structures to figure out if the user is human or computer itself is “CAPTCHA”. One of the most useful applications has been developed for the web usability and security is CAPTCHA. Blocking spam bots, falsified registration by computerized program, spurious lotteries and other disgraceful things in websites are the functions of CAPTCHA. Existing CAPTCHAs are text based, audio and video based. The most generally utilized CAPTCHA use mixes of fuzzy characters and muddling procedures that users can perceive yet that might be troublesome for robotized scripts. In this paper a new CAPTCHA technique is proposed which focuses on text based CAPTCHA where the input characters are distributed in arrays. Array CAPTCHA generation is executed by bipartite graphical representation, structural and dynamic mathematical model called Petri Net. As a two-factor authentication process, this Array CAPTCHA technique can be implemented in websites for web security. To pass the test, user has to identify both the order of the Array displayed and the letters used in the Array.

Keywords: CAPTCHA, Completely Automated Public Turing test to tell Computer and Human Apart, web security, bots, Petri Net, Array CAPTCHAs

1Associate Professor, Department of Mathematics, Sathyabama University, Chennai, India e-mail: [email protected]



Received 14 March 2017; Accepted 17 March 2017©Rushing Water Publishers Ltd. 2017

A common fixed point theorem in intuitionistic fuzzy metric space

S. KRISHNAVENI1, T. ESAKKIAPPAN1* and P. THANGARAJ2

In this paper, we have introduced conditionally reciprocally continuous map in an intuitionistic fuzzy metric space. Using compatible, f-compatible, g-compatible and reciprocally continuous established a common fixed point theorem in an intuitionistic fuzzy metric space.

Keywords: intuitionistic fuzzy metric space, common fixed point, compatible,f- compatible, g-compatible, conditionally reciprocally continuous map

1Department of Mathematics, Bannari Amman Institute of Technology (BIT), Sathyamangalam, Erode – 638 401, Tamil Nadu, India

2Department of Computer Science Engineering, Bannari Amman Institute of Technology (BIT), Sathyamangalam, Erode – 638 401, Tamil Nadu, India





Dominating node-based clustering algorithm to increase the lifetime of wireless sensor network

K. THIAGARAJAN1, R. SATHEESH BABU2,* and K. SARANYA3

Wireless sensor networks are becoming increasingly important in recent years due to their ability to detect and convey real time information for many civilian and military applications. One of the most important challenges faced by WSNs is battery limited lifetime of the network. Physically replacing batteries is infeasible in most real-life deployments of WSNs. Longer lifetime of the devices can be achieved by reducing the delay and the energy consumption. Hence this project aims to reduce energy during delay on collection of data, and hence by this process gathering information by sensor nodes is achieved. There are strong needs to develop wireless sensor networks algorithms with optimization priorities based on aspects besides energy saving. In order to minimize delays in the data collection process of wireless sensor networks, clustering is used. This exploits use of clustering for reducing the delay during data collection process. A Dominating Node (DN) plays an important role in wireless networks for efficient routing and broadcasting. In the proposed algorithm of selecting DN, a source node sends the same message to all the dominating nodes in the network. A dominating node is selected based on degree based evaluation of the given sensor networks. The novel algorithm is analyzed by splitting the network as Strongly Perfect Network (SPN), Strongly Weekly Perfect Network (SWPN), and Weekly Strongly Perfect Network (WSPN).The dominating nodes broadcast the requesting data message to its path, if it finds the requested information along the path, it sends the content to the destination node. During this path of flow there may presence of eavesdroppers and it is prevented by emitting jamming signal by adopting cooperative jamming scheme.

Keywords: adjacent dominating nodes, broadcasting, clustering, cooperative jamming, dominating node, wireless cloud network, wireless sensor network

1Department of Mathematics, PSNA College of Engineering and Technology, Dindigul, Tamil Nadu, India e-mail: [email protected]

2Research Scholar (PhD-CB-JUL2014-0287), Bharathiar University, Coimbatore, Tamil Nadu, India3Agni School of Business Excellence (ASBEX), Dindigul, Tamil Nadu, India





Language study on Graphene structure

K. THIAGARAJAN1* and J. PADMASHREE2

The language a16 is generated on sequence of applying Reflexive, lower and upper Reflexive benzene to the initial benzene graph and on iteratively applying these sequence of splicing to the resultant graph, graphene sheet is obtained. And graphene sheet is manipulated by folding of armchair to armchair, zigzag to zigzag and the chiral structure when the slight rotation of degree θ to obtain hallow structure with its upper and lower part as zigzag and armchair. Also observed that the fast generation of the graphene sheet with language an is obtained on sequence splicing on armchair with it resultant language.

Keywords: ZigZag, ArmChair, chiral, benzene graph folding, language

1Department of Mathematics, Pacheri Sri Nallathangal Amman College of Engineering and Technology, Dindigul, Tamil Nadu, India

2Department of Mathematics, Research Scholar (July 2014-0285), Bharathiar University, Coimbatore, Tamil Nadu, India




Actual date of publication: 31 March 2017 - ALS Supplement 14 2017 ©Rushing Water Publishers Ltd. 2017

REVIEWERS-ASIA LIFE SCIENCES Supplement 14, Number 1, 2017*

Prof. Albertson D. Amante, MSECEHead, BatStateU Center for Technopreneurship & InnovationVice President for Research, Development and Extension Services Batangas State University GPB Main Campus I Rizal Avenue, Batangas City Philippines

Dr. G.M. ArunprasadSchool of Advanced SciencesVIT UniversityChannai, India

Dr. Zhiqiang Cai, PhDResearch AssociateDr. Gideon Dreyfuss’ LaboratoryHoward Hughes Medical InstituteUniversity of Pennsylvania School of MedicineClinical Research Building, Room 330415 Curie Boulevard, Philadelphia PA 19104-6148, USA

*Disclaimer: The use of trade names in this publication does not imply endorsement or criticism of the products named.

296

ASIA LIFE SCIENCES The Asian International Journal of Life Sciences ISSN 0117-3375 Beyond Excellence©

Asia Life Sciences Supplement 14, 2017

Dr. V. BijuDepartment of MathematicsBannari Amman Institute of Technology Sathyamangalam, Erode Tamil Nadu, India

Dr. Yung-Cheol Byun, PhDFull ProfessorDepartment of Computer Engineering Jeju National University102 Jejudaehak-ro, Jeju-si Jeju-do, 690-756 South Korea

Dr. EaswaramoorthySchool of Advanced SciencesVIT University Vellore, India

Dr. G. Geetharamani Professor & HeadDepartmentof Mathematics Anna University BIT Campus, Trichy, India

Dr. Celeste Leiden G. Gruèzo, DVM, MA7288 Santosha Avenue corner Astheya StreetIstana Lovina Bay ParkPuypuy, Bay 4033, Laguna Philippines

Dr. Krishlex G. Gruèzo, MD81 Governor F.T. San Luis AvenueMasaya, Bay 4033, Laguna Philippines

297

Reviewers - Asia Life Sciences Supplement 14, Number 1, 2017


Dr. William Sm. Gruèzo, PhDAdjunct Professor Institute of Biological SciencesCollege of Arts and SciencesUniversity of the Philippines Los BañosCollege 4031, Laguna, Philippines

Dr. K. Indirani Professor & HeadDepartment of Mathematics Nirmala CollegeCoimbatore, India

Dr. Kokilavani Department of Mathematics Kongunadu College of Arts and Science Coimbatore, India

Dr. M. MarudhaiProfessor & HeadDepartment of MathematicsBharadhidasan UniversityTrichy, India

Dr. A. Nagoorgani Department of MathematicsJamal Mohammed CollegeTrichy, Tamil Nadu, India

Dr. M. ParimalaAssistant ProfessorDepartment of Mathematics Bannari Amman Institute of Technology Sathyamangalam, Erode Tamil Nadu, India

298



Dr. D.J. PrabakaranDepartmentof Mathematics MIT, ChannaiIndia

Dr. Mu QiaoBBB303 California Institute of Technology216-76 1200 E California BoulevardPasadena, California 91125USA

Dr. R. Raja Department of Mathematics Alagappa University Karaikudi, India

Dr. C. Selvaraj Professor & Head Deparment of Mathematics Periyar University Salem-11, India

Ms. Shujun Tang, MEngBiologist IIAbbott Molecular Inc. Des Plaines, Illinois 60068 USA

Dr. SivarajuSchool of Advanced SciencesVIT University Vellore, India

299

Reviewers - Asia Life Sciences Supplement 14, Number 1, 2017


Dr. P. Thangaraj Professor & HeadDeparment of CSE Bannari Amman Institute of Technology Sathyamangalam, Erode-01 Tamil Nadu, India

Dr. R. UdhaykumarAssistant Professor Department of Mathematics Bannari Amman Institute of Technology Sathyamangalam, Erode-01, Tamil Nadu, India

Dr. VijayalakshmiDepartment of Mathematics Kongunadu College of Arts and Science Coimbatore, India


Beyond Excellence©e-mails: [email protected] [email protected]






Asia Life Sciences is a recipient of the Journal Accreditation Award of the Commission on Higher Education (CHED),


300



ASIA LIFE SCIENCES - The Asian International Journal of Life Sciences (ISSN 0117-3375) is a non-profit, non-stock, refereed/peer-reviewed (double-blind review), international, scientific journal devoted to the publication of original research in the Life Sciences and other disciplines. Articles originating from anywhere in the world are most welcome. Two issues a year make a volume.

BOARD OF EDITORS - Asia Life Sciences Supplement 14(1), 2017Chairman & Chief Editor: Dr. William Sm. Gruèzo, 7288 Santosha Avenue corner










Actual date of Publication: 31 March 2017-ALS Supplement 14, 2017 ©Rushing Water Publishers Ltd. 2017

National Conference On Bridging InnovativeTrends in Pure and Applied Mathematics (BITPAM’16)

15-16 July 2016Organized by Department of Mathematics, Bannari Amman Institute

of Technology, Sathyamangalam - 638 401, Erode District, Tamil Nadu, India

ORGANIZING COMMITTEE Chief PatronsDr. S.V. Balasubramaniam, Chairman Dr. M.P. Vijayakumar, IAS (Retd) DirectorDr. A.M. Natarajan, Chief Executive Patron Dr. D. Saravanan, Principal Chair PersonDr. K. Megalai, HOD of Mathematics Co-Chair PersonDr. P. Geetha, Associate Professor ConvenorDr. Biju Vasudevan CoordinatorsDr. M. Parimala Dr. T. Esakkiappan Dr. R. Udhayakumar Mr. M. Karuppusamy

Disclaimer: The use of trade names in this publication does not imply endorsement or criticism of the products named.

302



Committee Members: All Faculty Members of the Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam - 638 401, Erode District, Tamil Nadu, India

Resource Persons Dr. P. Veeramani, IITM, Chennai Dr. L. Jones Taricious Doss, Anna Univ., ChennaiDr. Sashikumaar Ganeshan, IISc Bangalore Dr. T. Tamizh selvam, MS Univ.,TirunelveliDr. C. Selvaraj, Periyar University, Salem Dr. Ashish Gupta, IISER BopalDr. T. Duraivel, Pondi Univ., Pondicherry Dr. S. Sreenadh, Sri Venkateswara Univ., Thirupati Dr. D.J. Prabhakaran, MIT, ChennaiDr. Arun Prasad, VIT, Chennai Campus, TN


Beyond Excellence©e-mails: [email protected] [email protected]

http://www.sersc.org/journals/ALS/

©Rushing Water Publishers Ltd., Philippines 2017

Asia Life Sciences has an Impact Factor of 0.180

The papers published in Asia Life Sciences are indexed/covered by CABI, Wallingford, Oxon, UK (CAB Abstracts, CAB Global Health); China National Knowledge Infrastructure (CNKI),

66 Xixiaokou Avenue, Haidian District, Beijing, China; SCOPUS, Elsevier B.V., Radarweg 29, 1043 NX, Amsterdam, The Netherlands and Biological Abstracts, Zoological Record, SciSearch®/Science Citation Index Expanded, Journal Citation Reports/Science Edition, BIOSIS Previews, ISI Web of


303Asia Life Sciences Supplement 14, 2017

ASIA LIFE SCIENCES - The Asian International Journal of Life Sciences (ISSN 0117-3375) is a non-profit, non-stock, refereed/peer-re-viewed (double-blind review), international, scientific journal devoted to the publication of original research in the Life Sciences and other disci-plines. Articles originating from anywhere in the world are most welcome. Two issues a year make a volume.

BOARD OF EDITORS - Asia Life Sciences Supplement 14 (1), 2017Chairman & Chief Editor: Dr. William Sm. Gruèzo, 7288 Santosha Avenue corner








304



Beyond Excellence©

81 Governor F.T. San Luis Avenue, Masaya, Bay 4033, Laguna, Philippinese-mails: [email protected] [email protected]

http://www.sersc.org/journals/ALS/

©Rushing Water Publishers Ltd., Philippines 2017

Asia Life Sciences has an Impact Factor of 0.180

The papers published in Asia Life Sciences are indexed/covered by CABI, Wallingford, Oxon, UK (CAB Abstracts, CAB Global Health); China National Knowledge Infrastructure (CNKI),

66 Xixiaokou Avenue, Haidian District, Beijing, China; SCOPUS, Elsevier B.V., Radarweg 29, 1043 NX, Amsterdam, The Netherlands and Biological Abstracts, Zoological Record, SciSearch®/Science Citation Index Expanded, Journal Citation Reports/Science Edition, BIOSIS Previews, ISI Web of


Asia Life Sciences is a recipient of the Journal Accreditation Award of the Commission on Higher Education (CHED),




Contents295 Reviewers - Asia Life Sciences Supplement 14,

Number 1, 2017300 Board of Editors - Asia Life Sciences Supplement 14, Number 1, 2017301 National Conference On Bridging Innovative Trends in Pure and Applied Mathematics (BITPAM16)- Organizing Committee


Beyond Excellence©81 Governor F.T. San Luis Avenue, Masaya, Bay 4033, Laguna, Philippines

Celfone nos. (063) (049) 0916-526-0164; 0915-360-4660e-mails: [email protected] [email protected]






Asia Life Sciences is a recipient of the Journal AccreditationAward of the Commission on Higher Education (CHED),



Contents175 A generalization of Pk(r, m) and Pk’(r, m)

seminear-rings R. Perumal, P. Chinnaraj & R. Balakrishnan

181 Coefficient estimates for certain subclasses of meromorphic bi-univalent functions S. Prema &

B. Srutha Keerthi 193 An efficient swarm-based weather forecasting

approach with fuzzy k-nearest neighbor classification technique R. Rajkumar, A. James Albert & D. Chandrakala

205 A brief note on distance graphs V. Yegnanarayanan, R. Srikanth & M. Santhi 213 Chromatic weakly convex domination of a graph

E. Helena & R. Poovazhaki 223 Graceful labeling of Dm(Pn) K. Vengata Krishnan, D. Lalitha & P. Punithavathy 229 Certain subclass of meromorphic functions associated

with q-hypergeometric series P. Lokesh & B. Srutha Keerthi 247 Array CAPTCHAs (Completely Automated Public

Turing test to tell Computer and Human Apart) S. Vaithyasubramanian 255 A common fixed point theorem in intuitionistic fuzzy

metric space S. Krishnaveni, T. Esakkiappan & P. Thangaraj

263 Dominating node-based clustering algorithm to increase the lifetime of wireless sensor network K. Thiagarajan, R. Satheesh Babu & K.Saranya

279 Language study on Graphene structure K. Thiagarajan & J. Padmashree

Contents59 On independent rebellion number in graphs P. Shyamala Anto Mary &

V. Mohana Selvi69 Discrete time Geo/G/1 queue with randomized threshold

and single vacation S. Jeyakumar & P. Gunasekaran 77 Matching Pursuit algorithm for stationary wavelet

transformation on EEG signals V.R. Vinothini, P. Thangaraj & K. Sakthisudhan

85 On α-generalised closed sets in ideal minimal spaces D. Arivuoli & M. Parimala

93 On MIαψ closed sets in terms of ideal minimal structure spaces R. Jeevitha & M. Parimala

103 Cache oblivious approach for rectangular matrix multiplications through rectangular Peano curves K. Navaneetham, S. Jeya Bharathi & K. Thiagarajan

115 A brief note on generalized Petersen graph V. Yegnanarayanan & P. Vijayalakshmi

125 Coefficient bounds for certain subclasses of bi-univalent functions M. Revathi & B. Srutha Keerthi

133 Computation of free vibrations of multi-layered magneto-electro-elastic composite plate

S. Karthikeyan & G. Suganthi 149 Algorithmic approach of triple connected digraphs with

MATLAB technique B. Vijayalakshmi & R. Poovazhaki

157 Bio-mathematical model to determine the resonant frequencies of piezo-electric cylindrical transducers

used in Biosensors by Rayleigh Ritz method S. Karthikeyan & S. Rama 167 Line set domatic number of graphs P. Solairani & R. Poovazhaki


ISSN 0117-3375 Supplement 14 Number 1 March 2017

CONTENTS1 Strongly FI-cotorsion and Gorenstein FI-injective

modules V. Biju, R.Udhayakumar, A. Fentie & M. Parimala

7 mI-open sets and quasi-mI-open sets in terms of minimal ideal topological spaces M. Parimala, S. Jafari, S. Murali, M. Karuppusamy, R. Udhayakumar, V. Biju & R. Sathishkumar

13 Complementary domination in fuzzy graphs D. Umamageswari, N. Vinothkumar & P. Thangaraj

19 Fuzzy Hyper TM-Algebras K. Megalai & A. Tamilarasi 25 Obtaining inventory model for price discount with shortage, back ordering and rework M. Ravithammal R. Uthayakumar & S. Ganesh33 Integrated inventory model for multi-echelon multi-constraints with quantity discount and coordination supply chain by using Lagrange multiplier technique P. Muniappan, R. Uthayakumar & S. Ganesh43 Twain positive and negative domination in bipolar fuzzy graphs S. Sivamani & V. Mohanaselvi51 Intuitionistic fuzzy ψ closed and open mappings in topological spaces C. Indirani & M. ParimalaCont. on Inside Back Cover

Reviewers for this Issue: Please refer to pages 295-299 of this Issue.

asiaemtpub.com/wp-content/uploads/2018/12/supplement-14-no-1...asia life sciences the asian...

Documents