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On approximation properties of the independent set problem for degree 3 graphs

  • Piotr Berman
  • , Toshihiro Fujito

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    The main problem we consider in this paper is the Independent Set problem for bounded degree graphs. It is shown that the problem remains MAX SJVP-complete when the maximum degree is bounded by 3. Some related problems are also shown to be MAX SNP-complete at the lowest possible degree bounds. Next we study better poly-time approximation of the problem for degree 3 graphs, and improve the previously best ratio, |, to arbitrarily close to |. This result also provides improved poly-time approximation ratios, (Formula Presented), for odd degree B.

    Original languageEnglish (US)
    Title of host publicationAlgorithms and Data Structures - 4th International Workshop, WADS 1995, Proceedings
    EditorsSelim G. Akl, Frank Dehne, Jörg-Rüdiger Sack, Nicola Santoro
    PublisherSpringer Verlag
    Pages449-460
    Number of pages12
    ISBN (Print)3540602208, 9783540602200
    DOIs
    StatePublished - Jan 1 1995
    Event4th Workshop on Algorithms and Data Structures, WADS 1995 - Kingston, Canada
    Duration: Aug 16 1995Aug 18 1995

    Publication series

    NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
    Volume955
    ISSN (Print)0302-9743
    ISSN (Electronic)1611-3349

    Other

    Other4th Workshop on Algorithms and Data Structures, WADS 1995
    Country/TerritoryCanada
    CityKingston
    Period8/16/958/18/95

    All Science Journal Classification (ASJC) codes

    • Theoretical Computer Science
    • General Computer Science

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