Approximating the Treewidth of AT-Free Graphs

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Graph-Theoretic Concepts in Computer Science (WG 2000)

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Abstract

Using the specific structure of the minimal separators of AT-free graphs, we give a polynomial time algorithm that computes a triangulation whose width is no more than twice the treewidth of the input graph.

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Bouchitté, V., Todinca, I. (2000). Approximating the Treewidth of AT-Free Graphs. In: Brandes, U., Wagner, D. (eds) Graph-Theoretic Concepts in Computer Science. WG 2000. Lecture Notes in Computer Science, vol 1928. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-40064-8_7

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  • DOI: https://doi.org/10.1007/3-540-40064-8_7

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  • Print ISBN: 978-3-540-41183-3

  • Online ISBN: 978-3-540-40064-6

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