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Data Structures

Linked Lists

Namiq Sultan

Reference: Vinu V Das, Principles of Data Structures using C and C++

1

Linked Lists

2

Linked Lists

• START = NULL if there is no list (i.e.; NULL list or empty list).

3

ADVANTAGES OF LINKED LIST

Linked list have many advantages and some of them are:

1. Linked list are dynamic data structure. That is, they can grow or shrink

during the execution of a program.

2. Efficient memory utilization: Memory is allocated whenever it is required.

And it is deallocated when it is not needed.

3. Insertion and deletion are easier and efficient.

4. Many complex applications can be easily carried out with linked list.

4

OPERATIONS ON LINKED LISTS

The primitive operations performed on the linked list are as follows

1. Creation

2. Insertion

3. Deletion

4. Traversing

5. Searching

6. Concatenation

5

OPERATIONS ON LINKED LISTS• Creation operation is used to create a linked list.

• Insertion operation is used to insert a new node at any specified location in the linked list. A new node may be inserted.

(a) At the beginning of the linked list

(b) At the end of the linked list

(c) At any specified position in between in a linked list

• Deletion operation is used to delete a node from the linked list. A node may be deleted from the

(a) Beginning of a linked list

(b) End of a linked list

(c) Specified location of the linked list

• Traversing is the process of going through all the nodes from one end to another end of a linked list.

• Concatenation is the process of appending the second list to the end of the first list.

6

TYPES OF LINKED LIST1. Singly linked list

2. Doubly linked list

3. Circular linked list

7

SINGLY LINKED LIST

8

SINGLY LINKED LIST

9

SINGLY LINKED LIST

10

SINGLY LINKED LIST

11

ALGORITHM FOR INSERTING A NODE

Suppose • START is the first position in linked list.• DATA be the element to be inserted in the new node. • POS is the position where the new node is to be inserted. • TEMP is a temporary pointer to hold the node address.

12

ALGORITHM FOR INSERTING A NODE

Insert a Node at the beginning

1. Input DATA to be inserted

2. Create a NewNode

3. NewNode → DATA = DATA

4. If (SATRT equal to NULL)

(a) NewNode → Next = NULL

5. Else

(a) NewNode → Next = START

6. START = NewNode

7. Exit

13

ALGORITHM FOR INSERTING A NODEInsert a Node at the end

1. Input DATA to be inserted

2. Create a NewNode

3. NewNode → DATA = DATA

4. NewNode → Next = NULL

8. If (SATRT equal to NULL)

(a) START = NewNode

9. Else

(a) TEMP = START

(b) While (TEMP → Next not equal to NULL)

(i) TEMP = TEMP → Next

10. TEMP → Next = NewNode

11. Exit

14

ALGORITHM FOR INSERTING A NODEInsert a Node at any specified position (POS=1 means insert after first node. POS=0 not allowed)

1. Input DATA and POS to be inserted

2. initialise TEMP = START; and k = 1

3. Repeat the step 3 while( k is less than POS)

(a) TEMP = TEMP Next

(b) If (TEMP is equal to NULL)

(i) Display “Node in the list less than the position”

(ii) Exit

(c) k = k + 1

4. Create a New Node

5. NewNode DATA = DATA

6. NewNode Next = TEMP → Next

7. TEMP Next = NewNode

8. Exit 15

ALGORITHM FOR DELETING A NODE

Suppose • START is the first position in linked list. Let • DATA be the element to be deleted. • TEMP, HOLD is a temporary pointer to hold the node address.

16

ALGORITHM FOR DELETING A NODE

1. Input the DATA to be deleted

2. if ((START → DATA) is equal to DATA) // Delete first node

(a) TEMP = START

(b) START = START Next

(c) Set free the node TEMP, which is deleted

(d) Exit

3. HOLD = START

4. while ((HOLD Next Next) not equal to NULL)) // Between first & last

(a) if ((HOLD NEXT DATA) equal to DATA)

(i) TEMP = HOLD Next

(ii) HOLD Next = TEMP Next

(iii) Set free the node TEMP, which is deleted

(iv) Exit

(b) HOLD = HOLD Next17

ALGORITHM FOR DELETING A NODE

5. if ((HOLD next DATA) = = DATA) // last node

(a) TEMP = HOLD → Next

(b) Set free the node TEMP, which is deleted

(c) HOLD Next = NULL

(d) Exit

6. Disply “DATA not found”

7. Exit

18

ALGORITHM FOR SEARCHING A NODE1. Input the DATA to be searched

2. Initialize TEMP = START; POS = 1;

3. Repeat the step 4, 5 and 6 until (TEMP is equal to NULL)

4. If (TEMP DATA is equal to DATA)

(a) Display “The data is found at POS”

(b) Exit

5. TEMP = TEMP Next

6. POS = POS+1

7. If (TEMP is equal to NULL)

(a) Display “The data is not found in the list”

8. Exit

19

ALGORITHM FOR DISPLAY ALL NODES1. If (START is equal to NULL)

(a) Display “The list is Empty”

(b) Exit

2. Initialize TEMP = START

3. Repeat the step 4 and 5 until (TEMP = = NULL )

4. Display “TEMP DATA”

5. TEMP = TEMP Next

6. Exit

20

Programming Linked Listclass LinkedList{

//Structure declaration for the node

struct node{

int info;

node *next;

};

//private structure variable declared

node *start;

public:

LinkedList()//Constructor defined

{

start = NULL;

}

//public fucntion declared

void Create_List(int);

void AddAtBeg(int);

void AddAfter(int, int);

void Delete();

void Count();

void Search(int);

void Display();

};

21

Programming Linked List//This function will create a new linked list of elements

void LinkedList::Create_List(int data)

{

node *q, *newNode;

//New node is created with new operator

newNode = new node;

newNode->info = data;

newNode->next = NULL;

if (start == NULL) //If list is empty

start = newNode;

else { //Element inserted at the end */

q = start;

while(q->next != NULL)

q = q->next;

q->next = newNode;

}

}/*End of create_list()*/ 22

Programming Linked List

//following function will add new element at the beginning

void LinkedList::AddAtBeg(int data)

{

node *newNode;

newNode = new node;

newNode->info = data;

newNode->next = start;

start = newNode;}/*End of addatbeg()*/

23

Programming Linked List//This function will add new element at any specified position

void LinkedList::AddAfter(int data, int pos)

{ node *newNode, *q;

int i;

q = start;

//Finding the position in the linked list to insert

for(i = 0; i<pos-1; i++){

q = q->next;

if(q == NULL) {

cout<<"\n\nThere are less than "<<pos<<" elements" << endl;

return;

}

}/*End of for*/

newNode = new node;

newNode->next = q->next;

newNode->info = data;

q->next = newNode;

}/*End of addafter()*/24

Programming Linked Listvoid LinkedList::Delete()

{

node *tmp, *q;

int data;

if(start == NULL) {

cout<<"\n\nList is empty"<<endl;

return;

}

cout<<"\n\nEnter the element for deletion : ";

cin>>data;

if(start->info == data){

tmp = start;

start = start->next; //First element deleted

delete(tmp);

return;

}

25

Programming Linked List q = start;

while(q->next->next ! = NULL) {

if(q->next->info == data) { //Element deleted in between

tmp = q->next;

q->next = tmp->next;

delete(tmp);

return;

}

q = q->next;

}/*End of while */

if(q->next->info == data) { //Last element deleted

tmp = q->next;

delete(tmp);

q->next = NULL;

return;

}

cout<<"\n\nElement "<<data<<" not found"<<endl;

}/*End of del()*/26

Programming Linked Listvoid LinkedList::Display(){

// Fill in the code that displays the contents of the linked list

}/*End of display() */

void LinkedList::Count(){

// Fill in the code that counts the nodes of the linked list

}/*End of count() */

void LinkedList::Search(int data)

{

// Fill in the code that will find the position of a node that holds the ‘data’

}

27

Programming Linked Listint main()

{

int choice, n, m, position, i;

LinkedList po;

while(1)

{

cout<<"1.Create List\n";

cout<<"2.Add at beginning\n";

cout<<"3.Add after \n";

cout<<"4.Delete\n";

cout<<"5.Display\n";

cout<<"6.Count\n";

cout<<“7.Search\n";

cout<<“8.Quit\n";

cout<<"\nEnter your choice:";

cin>>choice;

28

Programming Linked List switch(choice) {

case 1:

cout<<"\n\nHow many nodes you want:";

cin>>n;

for(i = 0;i<n;i++)

{

cout<<"\nEnter the element:";

cin>>m;

po.Create_List(m);

}

break;

case 2:

cout<<"\n\nEnter the element:";

cin>>m;

po.AddAtBeg(m);

break;

29

Programming Linked Listcase 3:

cout<<"\n\nEnter the element:";cin>>m;cout<<"\nEnter the position after the inserted element :";cin>>position;po.AddAfter(m,position);break;

case 4:po.Delete();break;

case 5:po.Display();break;

case 6:po.Count();break;

case 7:cout<<"\n\nEnter the element to be searched:";

30

Programming Linked Listcin>>m;

po.Search(m);

break;

case 8:

exit(0);

default:

cout<<"\n\nWrong choice";

}/*End of switch */

}/*End of while */

}

31

STACK USING LINKED LISTPUSH

32

STACK USING LINKED LISTPOP

33

STACK USING LINKED LISTALGORITHM FOR PUSH OPERATION

• TOP is NULL when the stack is empty.

• DATA is the data item to be pushed.

1. Input the DATA to be pushed

2. Creat a New Node

3. NewNode → DATA = DATA

4. NewNode → Next = TOP

5. TOP = NewNode

6. Exit

34

STACK USING LINKED LIST• ALGORITHM FOR POP OPERATION

1. if (TOP is equal to NULL)

(a) Display “The stack is empty”

2. Else

(a) TEMP = TOP

(b) Display “The popped element TOP → DATA”

(c) TOP = TOP → Next

(d) TEMP → Next = NULL

(e) Free the TEMP node

3. Exit

35

QUEUE USING LINKED LIST

ADD to queue

36

QUEUE USING LINKED LIST

REMOVE from queue

37

QUEUE USING LINKED LISTALGORITHM FOR PUSHING AN ELEMENT TO A QUEUE

1. Input the DATA element to be pushed

2. Create a New Node

3. NewNode → DATA = DATA

4. NewNode → Next = NULL

5. If(REAR not equal to NULL) // if it is not empty

(a) REAR → next = NewNode

(b) REAR = NewNode

6. Else

REAR = FRONT = NewNode

7. Exit

38

QUEUE USING LINKED LISTALGORITHM FOR POPPING AN ELEMENT FROM A QUEUE

1. If (FRONT is equal to NULL)

(a) Display “The Queue is empty”

2. Else

(a) Display “The popped element is FRONT → DATA”

(b) If(FRONT is not equal to REAR)

(i ) FRONT = FRONT → Next

(c) Else

(i ) FRONT = NULL

(ii) REAR = NULL

3. Exit

39

DOUBLY LINKED LISTEvery nodes in the doubly linked list has three fields:

LeftPointer, RightPointer and DATA.

40

REPRESENTATION OF DOUBLY LINKED LIST

• A node in the doubly linked list can be represented with the following declarations:

struct Node

{

int DATA;

Node * next;

Node * prev;

};

Node * START;

• All operations performed on singly linked list can also be performed on doubly linked list.

41

REPRESENTATION OF DOUBLY LINKED LIST

42

CIRCULAR LINKED LIST• A circular linked list is one, which has no beginning and no end. A singly

linked list can be made a circular linked list by simply storing the address of the very first node in the linked field of the last node.

43

CIRCULAR DOUBLY LINKED LIST• A circular doubly linked list has both the successor pointer and predecessor

pointer in circular manner.

44

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