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SAT-Encodings for Special Treewidth and Pathwidth

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Theory and Applications of Satisfiability Testing – SAT 2017 (SAT 2017)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10491))

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Abstract

Decomposition width parameters such as treewidth provide a measurement on the complexity of a graph. Finding a decomposition of smallest width is itself NP-hard but lends itself to a SAT-based solution. Previous work on treewidth, branchwidth and clique-width indicates that identifying a suitable characterization of the considered decomposition method is key for a practically feasible SAT-encoding.

In this paper we study SAT-encodings for the decomposition width parameters special treewidth and pathwidth. In both cases we develop SAT-encodings based on two different characterizations. In particular, we develop two novel characterizations for special treewidth based on partitions and elimination orderings. We empirically obtained SAT-encodings.

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Acknowledgments

The authors kindly acknowledge the support by the Austrian Science Fund (FWF, projects W1255-N23 and P-26200).

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Authors and Affiliations

  1. Algorithms and Complexity Group, Tu Wien, Vienna, Austria

    Neha Lodha, Sebastian Ordyniak & Stefan Szeider

Authors
  1. Neha Lodha
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  2. Sebastian Ordyniak
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  3. Stefan Szeider
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Corresponding author

Correspondence to Sebastian Ordyniak .

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Editors and Affiliations

  1. UNSW Sydney, Sydney, New South Wales, Australia

    Serge Gaspers

  2. University of New South Wales , Sydney, New South Wales, Australia

    Toby Walsh

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Lodha, N., Ordyniak, S., Szeider, S. (2017). SAT-Encodings for Special Treewidth and Pathwidth. In: Gaspers, S., Walsh, T. (eds) Theory and Applications of Satisfiability Testing – SAT 2017. SAT 2017. Lecture Notes in Computer Science(), vol 10491. Springer, Cham. https://doi.org/10.1007/978-3-319-66263-3_27

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  • DOI: https://doi.org/10.1007/978-3-319-66263-3_27

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