Witness Gabriel graphs

Boris Aronov, Muriel Dulieu, Ferran Hurtado

    Research output: Contribution to journalArticle

    Abstract

    We consider a generalization of the Gabriel graph, the witness Gabriel graph. Given a set of vertices P and a set of witness points W in the plane, there is an edge ab between two points of P in the witness Gabriel graph GG-(P,W) if and only if the closed disk with diameter ab does not contain any witness point (besides possibly a and/or b). We study several properties of the witness Gabriel graph, both as a proximity graph and as a new tool in graph drawing.

    Original languageEnglish (US)
    Pages (from-to)894-908
    Number of pages15
    JournalComputational Geometry: Theory and Applications
    Volume46
    Issue number7
    DOIs
    StatePublished - 2013

    Fingerprint

    Graph in graph theory
    Proximity Graphs
    Graph Drawing
    Set of points
    If and only if
    Closed
    Generalization

    Keywords

    • Gabriel graph
    • Graph drawing
    • Proximity graph
    • Witness graph

    ASJC Scopus subject areas

    • Computational Theory and Mathematics
    • Computer Science Applications
    • Computational Mathematics
    • Control and Optimization
    • Geometry and Topology

    Cite this

    Witness Gabriel graphs. / Aronov, Boris; Dulieu, Muriel; Hurtado, Ferran.

    In: Computational Geometry: Theory and Applications, Vol. 46, No. 7, 2013, p. 894-908.

    Research output: Contribution to journalArticle

    Aronov, Boris ; Dulieu, Muriel ; Hurtado, Ferran. / Witness Gabriel graphs. In: Computational Geometry: Theory and Applications. 2013 ; Vol. 46, No. 7. pp. 894-908.
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