Automorphisms and isomorphisms of heptavalent symmetric graphs of order 32p

Bo Deng; Song-Tao Guo

Automorphisms and isomorphisms of heptavalent symmetric graphs of order 32p

Authors

Bo Deng Henan University of Science and Technology Luoyang
Song-Tao Guo Henan University of Science and Technology Luoyang

Keywords:

symmetric graph, s-transitive graph, Cayley graph, bi-Cayley graph

Abstract

A graph is symmetric if its automorphism group acts transitively on the set of arcs of the graph. In this paper, we determine the automorphisms and isomorphisms of connected heptavalent symmetric graphs of order \(32_p\) for each prime p. As a result, we get the complete classification of such graphs, and there are two sporadic such graphs with p = 2 and 3.

Cover of n°54 Italian Journal of Pure and Applied Mathematics

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Published

2025-12-07

How to Cite

Deng, B., & Guo, S.-T. (2025). Automorphisms and isomorphisms of heptavalent symmetric graphs of order 32p. Italian Journal of Pure and Applied Mathematics, 54, 24–38. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/5603