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 which shows that they form a subclass of the chordal bipartite graphs, and can be recognized in polynomial time.
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Hui, P., Schaefer, M., Štefankovič, D. (2005). Train Tracks and Confluent Drawings. In: Pach, J. (eds) Graph Drawing. GD 2004. Lecture Notes in Computer Science, vol 3383. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31843-9_32
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DOI: https://doi.org/10.1007/978-3-540-31843-9_32
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-24528-5
Online ISBN: 978-3-540-31843-9
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