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Possible and Impossible Attempts to Solve the Treewidth Problem via ILPs

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Treewidth, Kernels, and Algorithms

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 12160))

Abstract

We survey a number of integer programming formulations for the pathwidth and treewidth problems. The attempts to find good formulations for the problems span the period of 15 years, yet without any true success. Nevertheless, some formulations provide potentially useful frameworks for attacking these notorious problems. Some others are just curious and interesting fruits of mathematical imagination.

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Authors and Affiliations

  1. Maastricht University School of Business and Economics, Maastricht, The Netherlands

    Alexander Grigoriev

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  1. Alexander Grigoriev
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Correspondence to Alexander Grigoriev .

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Editors and Affiliations

  1. University of Bergen, Bergen, Norway

    Fedor V. Fomin

  2. Humboldt-University, Berlin, Germany

    Stefan Kratsch

  3. Utrecht University, Utrecht, The Netherlands

    Erik Jan van Leeuwen

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Grigoriev, A. (2020). Possible and Impossible Attempts to Solve the Treewidth Problem via ILPs. In: Fomin, F.V., Kratsch, S., van Leeuwen, E.J. (eds) Treewidth, Kernels, and Algorithms. Lecture Notes in Computer Science(), vol 12160. Springer, Cham. https://doi.org/10.1007/978-3-030-42071-0_7

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  • DOI: https://doi.org/10.1007/978-3-030-42071-0_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-42070-3

  • Online ISBN: 978-3-030-42071-0

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