On finite edge transitive graphs and rotary maps

Cai-Heng Li

doi:10.1016/j.jctb.2007.12.002

On finite edge transitive graphs and rotary maps

Cai-Heng Li

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

5 Citations (Scopus)

Abstract

It is shown that every connected vertex and edge transitive graph has a normal multicover that is a connected normal edge transitive Cayley graph. Moreover, every chiral or regular map has a normal cover that is a balanced chiral or regular Cayley map, respectively. As an application, a new family of half-transitive graphs is constructed as 2-fold covers of a family of 2-arc transitive graphs admitting Suzuki groups.

Original language	English
Pages (from-to)	1063-1075
Journal	Journal of combinatorial Theory Series B
Volume	98
Issue number	5
DOIs	https://doi.org/10.1016/j.jctb.2007.12.002
Publication status	Published - 2008

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10.1016/j.jctb.2007.12.002

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abstract = "It is shown that every connected vertex and edge transitive graph has a normal multicover that is a connected normal edge transitive Cayley graph. Moreover, every chiral or regular map has a normal cover that is a balanced chiral or regular Cayley map, respectively. As an application, a new family of half-transitive graphs is constructed as 2-fold covers of a family of 2-arc transitive graphs admitting Suzuki groups.",

author = "Cai-Heng Li",

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AB - It is shown that every connected vertex and edge transitive graph has a normal multicover that is a connected normal edge transitive Cayley graph. Moreover, every chiral or regular map has a normal cover that is a balanced chiral or regular Cayley map, respectively. As an application, a new family of half-transitive graphs is constructed as 2-fold covers of a family of 2-arc transitive graphs admitting Suzuki groups.

U2 - 10.1016/j.jctb.2007.12.002

DO - 10.1016/j.jctb.2007.12.002

M3 - Article

SN - 0095-8956

VL - 98

SP - 1063

EP - 1075

JO - Journal of combinatorial Theory Series B

JF - Journal of combinatorial Theory Series B

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ER -

On finite edge transitive graphs and rotary maps

Abstract

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