Abstract
We are given a circular-arc graph, represented by a circular-arc model; our goal is to decide whether the graph is a proper circular-arc graph. We do so in time linear in the number of vertices of the graph, regardless of the number of edges which may be quadratic in the number of vertices. For every input graph, we either provide a proper circular-arc model for the graph, or a forbidden subgraph induced in the graph.
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Nussbaum, Y. (2008). From a Circular-Arc Model to a Proper Circular-Arc Model. In: Broersma, H., Erlebach, T., Friedetzky, T., Paulusma, D. (eds) Graph-Theoretic Concepts in Computer Science. WG 2008. Lecture Notes in Computer Science, vol 5344. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-92248-3_29
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DOI: https://doi.org/10.1007/978-3-540-92248-3_29
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-92247-6
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