Irreducibility of spatial graphs

    Research output: Contribution to journalArticle

    4 Citations (Scopus)

    Abstract

    A graph embedded in the 3-sphere is called irreducible if it is non-splittable and for any 2-sphere embedded in the 3-sphere that intersects the graph at one point the graph is contained in one of the 3-balls bounded by the 2-sphere. We show that irreducibility is preserved under certain deformations of embedded graphs. We show that certain embedd graphs are irreducible.

    Original languageEnglish
    Pages (from-to)121-124
    Number of pages4
    JournalJournal of Knot Theory and its Ramifications
    Volume11
    Issue number1
    DOIs
    Publication statusPublished - 2002

    Fingerprint

    Spatial Graph
    Irreducibility
    Embedded Graph
    Graph in graph theory
    Intersect
    Ball

    Keywords

    • Irreducible graph
    • Spatial graph

    ASJC Scopus subject areas

    • Algebra and Number Theory

    Cite this

    Irreducibility of spatial graphs. / Taniyama, Kouki.

    In: Journal of Knot Theory and its Ramifications, Vol. 11, No. 1, 2002, p. 121-124.

    Research output: Contribution to journalArticle

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