Confluent Drawings: Visualizing Non-planar Diagrams in a Planar Way

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. Article Type Communicated by Submitted Revised regular paper G. Liotta January 2004 July ...

• Type: Journal
• Year: 2002
• Where: CORR
• Authors: Matthew Dickerson, David Eppstein, Michael T. Goodrich, Jeremy Yu Meng
• Keywords: Confluent, CORR 2002, Education, Non-planar Graph, Software Interaction Diagrams