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Beyond Hypertree Width: Decomposition Methods Without Decompositions

  • Conference paper
Principles and Practice of Constraint Programming - CP 2005 (CP 2005)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 3709))

Abstract

The general intractability of the constraint satisfaction problem has motivated the study of restrictions on this problem that permit polynomial-time solvability. One major line of work has focused on structural restrictions, which arise from restricting the interaction among constraint scopes. In this paper, we engage in a mathematical investigation of generalized hypertree width, a structural measure that has up to recently eluded study. We obtain a number of computational results, including a simple proof of the tractability of CSP instances having bounded generalized hypertree width.

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Authors and Affiliations

  1. Departament de Tecnologia, Universitat Pompeu Fabra, Barcelona, Spain

    Hubie Chen & Víctor Dalmau

Authors
  1. Hubie Chen
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  2. Víctor Dalmau
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Editors and Affiliations

  1. Cheriton School of Computer Science, University of Waterloo, N2L 3G1, Waterloo, Ontario, Canada

    Peter van Beek

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Chen, H., Dalmau, V. (2005). Beyond Hypertree Width: Decomposition Methods Without Decompositions. In: van Beek, P. (eds) Principles and Practice of Constraint Programming - CP 2005. CP 2005. Lecture Notes in Computer Science, vol 3709. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11564751_15

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  • DOI: https://doi.org/10.1007/11564751_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-29238-8

  • Online ISBN: 978-3-540-32050-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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