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Better algorithms for the pathwidth and treewidth of graphs

  • Algorithms (Session 13)
  • Conference paper
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Automata, Languages and Programming (ICALP 1991)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 510))

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Abstract

In this paper we give, for all constants k, explicit O(n log2 n) algorithms, that given a graph G = (V,E), decide whether the treewidth (or pathwidth) of G is at most k, and if so, find a tree-decomposition or (path-decomposition) of G with treewidth (or pathwidth) at most k. In contrast with previous solutions, our algorithms do not rely on non-constructive reasoning, and are single exponential in k. This result implies a similar result for several graph notions that are equivalent with treewidth or pathwidth.

This work was supported by the Foundation for Computer Science (S.I.O.N.) of the Netherlands Organization for Scientific Research (N.W.O.) and by the ESPRIT II Basic Research Actions Program of the EC under contract no. 3075 (project ALCOM).

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Authors and Affiliations

  1. Department of Computer Science, Utrecht University, P.O. Box 80.089, 3508 TB, Utrecht, the Netherlands

    Hans L. Bodlaender & Ton Kloks

Authors
  1. Hans L. Bodlaender
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  2. Ton Kloks
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Javier Leach Albert Burkhard Monien Mario Rodríguez Artalejo

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© 1991 Springer-Verlag Berlin Heidelberg

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Bodlaender, H.L., Kloks, T. (1991). Better algorithms for the pathwidth and treewidth of graphs. In: Albert, J.L., Monien, B., Artalejo, M.R. (eds) Automata, Languages and Programming. ICALP 1991. Lecture Notes in Computer Science, vol 510. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54233-7_162

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  • DOI: https://doi.org/10.1007/3-540-54233-7_162

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  • Print ISBN: 978-3-540-54233-9

  • Online ISBN: 978-3-540-47516-3

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