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 which shows that they form a subclass of the chordal bipartite graphs, and can be recognized in polynomial time. © Springer-Verlag Berlin Heidelberg 2004.
CITATION STYLE
Hui, P., Schaefer, M., & Štefankovic, D. (2004). Train tracks and confluent drawings. In Lecture Notes in Computer Science (Vol. 3383, pp. 318–328). https://doi.org/10.1007/978-3-540-31843-9_32
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