On locally primitive symmetric graph of valency twice prime

•All locally primitive symmetric graphs of valency twice prime are determined.•Using local analysis to deal with the structure of point stabilizer.•The classification of locally primitive symmetric graphs is reduced to G. In this paper, all connected locally primitive symmetric graphs of valency 2r...

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Bibliographic Details
Published inApplied mathematics and computation Vol. 422; p. 126974
Main Authors Li, Jing Jian, Zhang, Xiao Qian, Chen, Jun Yan
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.06.2022
Subjects
Alternating group
Locally primitive graph
Symmetric graph
20B25
Alternating group
Locally primitive graph
05C25
Symmetric graph
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Summary:•All locally primitive symmetric graphs of valency twice prime are determined.•Using local analysis to deal with the structure of point stabilizer.•The classification of locally primitive symmetric graphs is reduced to G. In this paper, all connected locally primitive symmetric graphs of valency 2r admitting a transitive alternating automorphism group are determined, where r is odd prime.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2022.126974