On 7-valent symmetric Cayley graphs of finite simple groups

Quite a lot of attention has been paid recently to the classification of symmetric Cayley graphs of non-abelian simple groups. Besides the known complete classification on the cubic case, in most cases, the classifications are conditional with restrictions, such as on specified non-abelian simple gr...

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Bibliographic Details
Published inJournal of algebraic combinatorics Vol. 56; no. 4; pp. 1097 - 1118
Main Authors Li, Jing Jian, Ma, Jicheng, Zhu, Wenying
Format Journal Article
LanguageEnglish
Published New York Springer US 01.12.2022
Springer Nature B.V
Subjects
Classification
Combinatorics
Computer Science
Convex and Discrete Geometry
Graphs
Group Theory and Generalizations
Lattices
Mathematics
Mathematics and Statistics
Order
Ordered Algebraic Structures
Cayley graph
Symmetric graph
Simple groups
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Summary:Quite a lot of attention has been paid recently to the classification of symmetric Cayley graphs of non-abelian simple groups. Besides the known complete classification on the cubic case, in most cases, the classifications are conditional with restrictions, such as on specified non-abelian simple groups or on solvable vertex-stabilizers. In this paper, a characterization of the 7-valent symmetric Cayley graphs of finite simple groups is given.
ISSN:0925-9899
1572-9192
DOI:10.1007/s10801-022-01147-w