graph visualization based on rectangular dual gianluca quercini phd student disi – dipartimento di...
TRANSCRIPT
GRAPH VISUALIZATION BASED ON RECTANGULAR DUAL
Gianluca QuerciniPhD Student
Disi – Dipartimento di Informatica e Scienze dell'Informazione
Università degli Studi di Genova
Sydney, Wed November 21, 2007
Rectangular Dual
Lai & Leinwald
A graph admits a rectangular dual iff:
1) It is planar
2) Its internal faces are triangular
3) It does not contain separating triangles
Rectangular Dual of any Planar Graph
Kant & He, 1993Chiba & Nishizeki, 1985
Biedl, Kant, Kaufmann, 1995
Breaking the Separating Triangles
Problem: Adding a minimal set of crossover vertices to break all the separating triangles
A Polynomial Algorithm
Accornero, Ancona, Varini 2000
Towards a linear-time algorithm
Applications
3D Electronic Institutions
EI to 3D Worlds Rectangular dual
Cartograms
Weighted Rectangular Dual
Graph Drawing
Goal: to obtain a pleasant drawing
Large graphs
3D Graph Drawing
Fish-eye lens
Clustering
Traditional graph drawing representations Rectangular Dual
Clustering by Rectangular Dualization