An infinite family of vertex-primitive 2-arc-transitive digraphs

Michael Giudici, Cai Heng Li, Binzhou Xia

    Research output: Contribution to journal › Article

    1 Citation (Scopus)

    Abstract

    We solve the long-standing existence problem of vertex-primitive 2-arc-transitive digraphs by constructing an infinite family of such digraphs.

    Original languageEnglish
    Pages (from-to)1-13
    Number of pages13
    JournalJournal of Combinatorial Theory. Series B
    Volume127
    DOIs
    Publication statusPublished - 1 Nov 2017

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    Digraph
    Arc of a curve
    Vertex of a graph
    Family

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    Giudici, Michael ; Li, Cai Heng ; Xia, Binzhou. / An infinite family of vertex-primitive 2-arc-transitive digraphs. In: Journal of Combinatorial Theory. Series B. 2017 ; Vol. 127. pp. 1-13.
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    title = "An infinite family of vertex-primitive 2-arc-transitive digraphs",
    abstract = "We solve the long-standing existence problem of vertex-primitive 2-arc-transitive digraphs by constructing an infinite family of such digraphs.",
    keywords = "2-arc-transitive, Digraphs, Vertex-primitive",
    author = "Michael Giudici and Li, {Cai Heng} and Binzhou Xia",
    year = "2017",
    month = "11",
    day = "1",
    doi = "10.1016/j.jctb.2017.05.002",
    language = "English",
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    journal = "Journal of combinatorial Theory Series B",
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    Giudici, M, Li, CH & Xia, B 2017, 'An infinite family of vertex-primitive 2-arc-transitive digraphs' Journal of Combinatorial Theory. Series B, vol. 127, pp. 1-13. https://doi.org/10.1016/j.jctb.2017.05.002

    An infinite family of vertex-primitive 2-arc-transitive digraphs. / Giudici, Michael; Li, Cai Heng; Xia, Binzhou.

    In: Journal of Combinatorial Theory. Series B, Vol. 127, 01.11.2017, p. 1-13.

    Research output: Contribution to journal › Article

    TY - JOUR

    T1 - An infinite family of vertex-primitive 2-arc-transitive digraphs

    AU - Giudici, Michael

    AU - Li, Cai Heng

    AU - Xia, Binzhou

    PY - 2017/11/1

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    N2 - We solve the long-standing existence problem of vertex-primitive 2-arc-transitive digraphs by constructing an infinite family of such digraphs.

    AB - We solve the long-standing existence problem of vertex-primitive 2-arc-transitive digraphs by constructing an infinite family of such digraphs.

    KW - 2-arc-transitive

    KW - Digraphs

    KW - Vertex-primitive

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    JO - Journal of combinatorial Theory Series B

    JF - Journal of combinatorial Theory Series B

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    Giudici M, Li CH, Xia B. An infinite family of vertex-primitive 2-arc-transitive digraphs. Journal of Combinatorial Theory. Series B. 2017 Nov 1;127:1-13. https://doi.org/10.1016/j.jctb.2017.05.002

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