P-Matchings Parameterized by Treewidth

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    8 Scopus citations

    Abstract

    A matching is a subset of edges in a graph G that do not share an endpoint. A matching M is a P-matching if the subgraph of G induced by the endpoints of the edges of M satisfies property P. For example, if the property P is that of being a matching, being acyclic, or being disconnected, then we obtain an induced matching, an acyclic matching, and a disconnected matching, respectively. In this paper, we analyze the problems of the computation of these matchings from the viewpoint of Parameterized Complexity with respect to the parameter treewidth.

    Original languageEnglish
    Title of host publicationGraph-Theoretic Concepts in Computer Science - 49th International Workshop, WG 2023, Revised Selected Papers
    EditorsDaniël Paulusma, Bernard Ries
    PublisherSpringer Science and Business Media Deutschland GmbH
    Pages217-231
    Number of pages15
    ISBN (Print)9783031433795
    DOIs
    StatePublished - 1 Jan 2023
    Event49th International Workshop on Graph-Theoretic Concepts in Computer Science, WG 2023 - Fribourg, Switzerland
    Duration: 28 Jun 202330 Jun 2023

    Publication series

    NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
    Volume14093 LNCS
    ISSN (Print)0302-9743
    ISSN (Electronic)1611-3349

    Conference

    Conference49th International Workshop on Graph-Theoretic Concepts in Computer Science, WG 2023
    Country/TerritorySwitzerland
    CityFribourg
    Period28/06/2330/06/23

    Keywords

    • Exponential Time Hypothesis
    • Matching
    • Parameterized Algorithms
    • Treewidth

    ASJC Scopus subject areas

    • Theoretical Computer Science
    • General Computer Science

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