Arc-transitive graphs of square-free order and small valency

Cai Heng Li; Zai Ping Lu; Gaixia Wang

doi:10.1016/j.disc.2016.06.002

Arc-transitive graphs of square-free order and small valency

Cai Heng Li, Zai Ping Lu, Gaixia Wang

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

29 Citations (Scopus)

Abstract

This paper is one of a series of papers devoted to characterizing edge-transitive graphs of square-free order. It presents a complete list of locally-primitive arc-transitive graphs of square-free order and valency d∈{5,6,7}.

Original language	English
Pages (from-to)	2907-2918
Number of pages	12
Journal	Discrete Mathematics
Volume	339
Issue number	12
Early online date	1 Jul 2016
DOIs	https://doi.org/10.1016/j.disc.2016.06.002
Publication status	Published - 6 Dec 2016

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10.1016/j.disc.2016.06.002

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title = "Arc-transitive graphs of square-free order and small valency",

abstract = "This paper is one of a series of papers devoted to characterizing edge-transitive graphs of square-free order. It presents a complete list of locally-primitive arc-transitive graphs of square-free order and valency d∈{5,6,7}.",

keywords = "(Almost) simple group, Arc-transitive graph, Locally primitive, Normal quotient, Vertex stabilizer",

author = "Li, {Cai Heng} and Lu, {Zai Ping} and Gaixia Wang",

year = "2016",

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AU - Li, Cai Heng

AU - Lu, Zai Ping

AU - Wang, Gaixia

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N2 - This paper is one of a series of papers devoted to characterizing edge-transitive graphs of square-free order. It presents a complete list of locally-primitive arc-transitive graphs of square-free order and valency d∈{5,6,7}.

AB - This paper is one of a series of papers devoted to characterizing edge-transitive graphs of square-free order. It presents a complete list of locally-primitive arc-transitive graphs of square-free order and valency d∈{5,6,7}.

KW - (Almost) simple group

KW - Arc-transitive graph

KW - Locally primitive

KW - Normal quotient

KW - Vertex stabilizer

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JO - Discrete Mathematics

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Arc-transitive graphs of square-free order and small valency

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Efficient Computation in Finite Groups with Applications in Algebra & Graph Theory

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Arc-transitive graphs of square-free order and small valency

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Efficient Computation in Finite Groups with Applications in Algebra & Graph Theory

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