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htd – A Free, Open-Source Framework for (Customized) Tree Decompositions and Beyond

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Book cover Integration of AI and OR Techniques in Constraint Programming (CPAIOR 2017)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10335))

Abstract

Decompositions of graphs play a central role in the field of parameterized complexity and are the basis for many fixed-parameter tractable algorithms for problems that are NP-hard in general. Tree decompositions are the most prominent concept in this context and several tools for computing tree decompositions recently competed in the 1st Parameterized Algorithms and Computational Experiments Challenge. However, in practice the quality of a tree decomposition cannot be judged without taking concrete algorithms that make use of tree decompositions into account. In fact, practical experience has shown that generating decompositions of small width is not the only crucial ingredient towards efficiency. To this end, we present htd, a free and open-source software library, which includes efficient implementations of several heuristic approaches for tree decomposition and offers various features for normalization and customization of decompositions. The aim of this article is to present the specifics of htd together with an experimental evaluation underlining the effectiveness and efficiency of the implementation.

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Notes

  1. 1.

    See https://pacechallenge.wordpress.com/track-a-treewidth/ for more details.

  2. 2.

    Available at http://www.hlt.utdallas.edu/~vgogate/quickbb.html.

  3. 3.

    Available at http://www.dbai.tuwien.ac.at/proj/hypertree/downloads.html.

  4. 4.

    Available at https://github.com/maxbannach/Jdrasil.

  5. 5.

    See https://pacechallenge.wordpress.com/2016/09/12/here-are-the-results-of-the-1st-pace-challenge/.

  6. 6.

    Available at http://www.qbflib.org/TS2016/Dataset_1.tar.gz.

  7. 7.

    Available at https://github.com/holgerdell/PACE-treewidth-testbed.

  8. 8.

    Available at https://github.com/gcharwat/dynqbf/releases/tag/v0.3-beta.

  9. 9.

    Available at http://www.qbflib.org/TS2010/2QBF.tar.gz.

  10. 10.

    When we use a pool of ten decompositions to choose from, the chance for obtaining an even better decomposition increases. However, no additional instance is solved when we change from five to ten iterations, but the run-time for the solved instances further decreases (compensating the time required for computing more decompositions).

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Acknowledgments

This work has been supported by the Austrian Science Fund (FWF): P25607-N23, P24814-N23, Y698-N23.

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Authors and Affiliations

  1. Institute of Information Systems, TU Wien, 184/2, Favoritenstraße 9–11, 1040, Vienna, Austria

    Michael Abseher, Nysret Musliu & Stefan Woltran

Authors
  1. Michael Abseher
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  2. Nysret Musliu
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  3. Stefan Woltran
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Correspondence to Michael Abseher .

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Editors and Affiliations

  1. University of Padua, Padua, Italy

    Domenico Salvagnin

  2. University of Bologna, Bologna, Italy

    Michele Lombardi

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Abseher, M., Musliu, N., Woltran, S. (2017). htd – A Free, Open-Source Framework for (Customized) Tree Decompositions and Beyond. In: Salvagnin, D., Lombardi, M. (eds) Integration of AI and OR Techniques in Constraint Programming. CPAIOR 2017. Lecture Notes in Computer Science(), vol 10335. Springer, Cham. https://doi.org/10.1007/978-3-319-59776-8_30

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  • DOI: https://doi.org/10.1007/978-3-319-59776-8_30

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