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Computing Directed Pathwidth in O(1.89n) Time

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Part of the Lecture Notes in Computer Science book series (LNTCS,volume 7535)

Abstract

We give an algorithm for computing the directed pathwidth of a digraph with n vertices in O(1.89n) time. This is the first algorithm with running time better than the straightforward O *(2n). As a special case, it computes the pathwidth of an undirected graph in the same amount of time, improving on the algorithm due to Suchan and Villanger which runs in O(1.9657n) time.

Keywords

  • Undirected Graph
  • Search Tree
  • Combinatorial Theory
  • Chordal Graph
  • Graph Minor

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Kitsunai, K., Kobayashi, Y., Komuro, K., Tamaki, H., Tano, T. (2012). Computing Directed Pathwidth in O(1.89n) Time. In: Thilikos, D.M., Woeginger, G.J. (eds) Parameterized and Exact Computation. IPEC 2012. Lecture Notes in Computer Science, vol 7535. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33293-7_18

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  • DOI: https://doi.org/10.1007/978-3-642-33293-7_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33292-0

  • Online ISBN: 978-3-642-33293-7

  • eBook Packages: Computer ScienceComputer Science (R0)