The genus of the Coxeter graph

Jane M.O. Mitchell

    Research output: Contribution to journalArticle

    Abstract

    Biggs stated that the Coxeter graph can be embedded in an orientable surface of genus 3. The purpose of this note is to point out that Biggs' embedding is in fact into a non-orientable surface. Further, it is shown that the orientable genus is 3 and the non-orientable genus is 6.
    LanguageEnglish
    Pages462-464
    Number of pages2
    JournalCanadian Mathematical Bulletin
    Volume38
    Issue number4
    Publication statusPublished - Dec 1995

    Fingerprint

    Genus
    Graph in graph theory
    Non-orientable Surface

    Keywords

    • graph
    • mathematics
    • Coxeter graph

    Cite this

    Mitchell, J. M. O. (1995). The genus of the Coxeter graph. Canadian Mathematical Bulletin, 38(4), 462-464.
    Mitchell, Jane M.O. / The genus of the Coxeter graph. In: Canadian Mathematical Bulletin. 1995 ; Vol. 38, No. 4. pp. 462-464.
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    Mitchell, JMO 1995, 'The genus of the Coxeter graph' Canadian Mathematical Bulletin, vol. 38, no. 4, pp. 462-464.

    The genus of the Coxeter graph. / Mitchell, Jane M.O.

    In: Canadian Mathematical Bulletin, Vol. 38, No. 4, 12.1995, p. 462-464.

    Research output: Contribution to journalArticle

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    Mitchell JMO. The genus of the Coxeter graph. Canadian Mathematical Bulletin. 1995 Dec;38(4):462-464.