Title
Train Tracks and Confluent Drawings
Abstract
Confluent graphs capture the connection properties of train tracks, offering a very natural generalization of planar graphs, and—as the example of railroad maps shows—are an important tool in graph visualization. In this paper we continue the study of confluent graphs, introducing strongly confluent graphs and tree-confluent graphs. We show that strongly confluent graphs can be recognized in NP (the complexity of recognizing confluent graphs remains open). We also give a natural elimination ordering characterization of tree-confluent graphs, and we show that this class coincides with the (6,2)-chordal bipartite graphs. Finally, we define outerconfluent graphs and identify the bipartite permutation graphs as a natural subclass.
Year
DOI
Venue
2007
10.1007/s00453-006-0165-x
Algorithmica
Keywords
Field
DocType
Bipartite Graph,Graph Drawing,Train Track,Trivial Graph,Swap Move
Discrete mathematics,Modular decomposition,Indifference graph,Combinatorics,Computer science,Chordal graph,Graph product,Cograph,Treewidth,Pathwidth,1-planar graph
Journal
Volume
Issue
ISSN
47
4
0178-4617
Citations 
PageRank 
References 
8
0.68
5
Authors
4
Name
Order
Citations
PageRank
Peter Hui1182.73
Michael J. Pelsmajer218920.19
Marcus Schaefer312312.63
Daniel Stefankovic424328.65