Exact Algorithms for Intervalizing Coloured Graphs

Hans L. Bodlaender*, Johan M M van Rooij

*Corresponding author for this work

    Research output: Contribution to journalArticleAcademicpeer-review

    Abstract

    In the Intervalizing Coloured Graphs problem, one must decide for a given graph G = (V, E) with a proper vertex colouring of G whether G is the subgraph of a properly coloured interval graph. For the case that the number of colors is fixed, we give an exact algorithm that uses (Formula Presented.) time. We also give an (Formula Presented.) algorithm for the case that the number of colors is not fixed.

    Original languageEnglish
    Pages (from-to)273-286
    Number of pages14
    JournalTheory of Computing Systems
    Volume58
    Issue number2
    DOIs
    Publication statusPublished - 1 Feb 2016

    Keywords

    • Exact algorithms
    • Graph algorithms
    • Interval graphs
    • Intervalizing coloured graphs
    • Pathwidth
    • Subexponential time

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