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

Michael Giudici; Cai Heng Li; Binzhou Xia

doi:10.1016/j.jctb.2017.05.002

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

Michael Giudici, Cai Heng Li, Binzhou Xia

Research output: Contribution to journal › Article › peer-review

8 Citations (Web of Science)

Abstract

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

Original language	English
Pages (from-to)	1-13
Number of pages	13
Journal	Journal of Combinatorial Theory. Series B
Volume	127
DOIs	https://doi.org/10.1016/j.jctb.2017.05.002
Publication status	Published - 1 Nov 2017

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10.1016/j.jctb.2017.05.002

https://arxiv.org/abs/1609.06809Licence: Unspecified

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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",

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AU - Giudici, Michael

AU - Li, Cai Heng

AU - Xia, Binzhou

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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

ER -

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

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