A new force-directed graph drawing method based on edge-edge repulsion

Chun-Cheng Lin, Hsu Chun Yen*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

20 Scopus citations

Abstract

The conventional force-directed methods for drawing undirected graphs are based on either vertex-vertex repulsion or vertex-edge repulsion. In this paper, we propose a new force-directed method based on edge-edge repulsion to draw graphs. In our framework, edges are modelled as charged springs, and a final drawing can be generated by adjusting positions of vertices according to spring forces and the repulsive forces, derived from potential fields, among edges. Different from the previous methods, our new framework has the advantage of overcoming the problem of zero angular resolution, guaranteeing the absence of any overlapping of edges incident to the common vertex. Given graph layouts probably generated by classical algorithms as the inputs to our algorithm, experimental results reveal that our approach produces promising drawings (especially for trees and hypercuhes) not only preserving the original properties of a high degree of symmetry and uniform edge length, but also preventing zero angular resolution. By allowing vertex-vertex overlapping, our algorithm also results in more symmetrical drawings.

Original languageEnglish
Title of host publicationProceedings - Ninth International Conference on Information Visualisation, iV05
Pages329-334
Number of pages6
DOIs
StatePublished - 2005
Event9th International Conference on Information Visualisation, iV05 - London, United Kingdom
Duration: 6 Jul 20058 Jul 2005

Publication series

NameProceedings of the International Conference on Information Visualisation
Volume2005
ISSN (Print)1093-9547

Conference

Conference9th International Conference on Information Visualisation, iV05
Country/TerritoryUnited Kingdom
CityLondon
Period6/07/058/07/05

Keywords

  • Angular resolution
  • Force-directed method
  • Potential field

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