On Edge-Primitive Graphs of Order as a Product of Two Distinct Primes

Renbing Xiao, Xiaojiao Zhang and Hua Zhang ()
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Renbing Xiao: School of Mathematics and Information Science, Nanchang Normal University, Nanchang 330032, China
Xiaojiao Zhang: School of Mathematics and Information Science, Nanchang Normal University, Nanchang 330032, China
Hua Zhang: School of Mathematics, Yunnna Normal University, Kunming 650091, China

Mathematics, 2023, vol. 11, issue 18, 1-10

Abstract: A graph is edge-primitive if its automorphism group acts primitively on the edge set of the graph. Edge-primitive graphs form an important subclass of symmetric graphs. In this paper, edge-primitive graphs of order as a product of two distinct primes are completely determined. This depends on non-abelian simple groups with a subgroup of index pq being classified, where p > q are odd primes.

Keywords: edge-primitive graphs; primitive permutation group; symmetric graphs (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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