Journal of Graph Algorithms and Applications
http://jgaa.info ISSN: 1526-1719
DOI: 10.7155/jgaa.00099 Confluent Drawings: Visualizing Non-planar Diagrams in a Planar Way Matthew Dickerson , David Eppstein , Michael T. Goodrich , and Jeremy Y. Meng Vol. 9, no. 1, pp. 31-52, 2005. Regular paper Abstract We introduce a new approach for drawing diagrams. Our approach is to use a technique we call confluent drawing for visualizing non-planar graphs in a planar way. This approach allows us to draw, in a crossing-free manner, graphs-such as software interaction diagrams-that would normally have many crossings. The main idea of this approach is quite simple: we allow groups of edges to be merged together and drawn as "tracks" (similar to train tracks). Producing such confluent drawings automatically from a graph with many crossings is quite challenging, however, we offer a heuristic algorithm (one version for undirected graphs and one version for directed ones) to test if a non-planar graph can be drawn efficiently in a confluent way. In addition, we identify several large classes of graphs that can be completely categorized as being either confluently drawable or confluently non-drawable.
|
Submitted: January 2004. Revised: July 2005. Communicated by Giuseppe Liotta |
Journal of Graph Algorithms and Applications |