Vertex transitive embeddings of complete graphs

Cai-Heng Li

doi:10.1016/j.jctb.2008.09.002

Vertex transitive embeddings of complete graphs

Cai-Heng Li

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

3 Citations (Scopus)

Abstract

It is shown that a vertex transitive complete map M satisfies one of the following: (i) Aut M is regular on the vertex set, (ii) Aut M has a subgroup of index at most 2 which is a Frobenius group with the Frobenius kernel regular on the vertex set, or (iii) Aut M=PSL(2,2e) and is a non-orientable non-Cayley map.

Original language	English
Pages (from-to)	447-454
Journal	Journal of combinatorial Theory Series B
Volume	99
Issue number	2
DOIs	https://doi.org/10.1016/j.jctb.2008.09.002
Publication status	Published - 2009

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10.1016/j.jctb.2008.09.002

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title = "Vertex transitive embeddings of complete graphs",

abstract = "It is shown that a vertex transitive complete map M satisfies one of the following: (i) Aut M is regular on the vertex set, (ii) Aut M has a subgroup of index at most 2 which is a Frobenius group with the Frobenius kernel regular on the vertex set, or (iii) Aut M=PSL(2,2e) and is a non-orientable non-Cayley map.",

author = "Cai-Heng Li",

year = "2009",

doi = "10.1016/j.jctb.2008.09.002",

language = "English",

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journal = "Journal of combinatorial Theory Series B",

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AB - It is shown that a vertex transitive complete map M satisfies one of the following: (i) Aut M is regular on the vertex set, (ii) Aut M has a subgroup of index at most 2 which is a Frobenius group with the Frobenius kernel regular on the vertex set, or (iii) Aut M=PSL(2,2e) and is a non-orientable non-Cayley map.

U2 - 10.1016/j.jctb.2008.09.002

DO - 10.1016/j.jctb.2008.09.002

M3 - Article

VL - 99

SP - 447

EP - 454

JO - Journal of combinatorial Theory Series B

JF - Journal of combinatorial Theory Series B

SN - 0095-8956

IS - 2

ER -

Vertex transitive embeddings of complete graphs

Abstract

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