Prime-valent symmetric graphs admitting alternating transitive group

The classification of symmetric graphs has always been a hot topic in algebraic graph theory. Here, we give a complete classification of the all connected prime-valent symmetric graphs admitting a transitive alternating automorphism group.

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Bibliographic Details
Published inApplied mathematics and computation Vol. 407; p. 126334
Main Authors Li, Jing Jian, Yang, Jing, Ju, Ran, Ma, Hongping
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.10.2021
Subjects
Alternating group
Prime-valent
Symmetric graph
20B25
Prime-valent
Alternating group
05C25
Symmetric graph
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Summary:The classification of symmetric graphs has always been a hot topic in algebraic graph theory. Here, we give a complete classification of the all connected prime-valent symmetric graphs admitting a transitive alternating automorphism group.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2021.126334