On disjoint cycles

    Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

    Abstract

    It is shown, that for each constant k ≥ 1, the following problems can be solved in O(n) time: given a graph G, determine whether G has k vertex disjoint cycles, determine whether G has k edge disjoint cycles, determine whether G has a feedback vertex set of size ≤ k. Also, every class G , that is closed under minor taking, or that is closed under immersion taking, and that does not contain the graph formed by taking the disjoint union of k copies of K_3, has an O (n) membership test algorithm.
    Original languageEnglish
    Title of host publicationGraph-Theoretic Concepts in Computer Science
    EditorsGunther Schmidt, Rudolf Berghammer
    PublisherSpringer
    Pages230-238
    Number of pages9
    Volume570
    ISBN (Print)978-3-540-55121-8
    DOIs
    Publication statusPublished - 1992
    EventWorkshop on Graph-Theoretic Concepts in Computer Science, WG 1991 - Fischbachau, Germany
    Duration: 6 Jul 19916 Jul 1992

    Publication series

    NameLecture Notes in Computer Science

    Conference

    ConferenceWorkshop on Graph-Theoretic Concepts in Computer Science, WG 1991
    Country/TerritoryGermany
    CityFischbachau
    Period6/07/916/07/92

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