Classifying Seven-Valent Symmetric Graphs of Order 8 pq

Yingbi Jiang, Bo Ling (), Jinlong Yang and Yun Zhao
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Yingbi Jiang: School of Mathematics and Computer Science, Yunnan Minzu University, Kunming 650031, China
Bo Ling: School of Mathematics and Computer Science, Yunnan Minzu University, Kunming 650031, China
Jinlong Yang: School of Mathematics and Computer Science, Yunnan Minzu University, Kunming 650031, China
Yun Zhao: School of Mathematics and Computer Science, Yunnan Minzu University, Kunming 650031, China

Mathematics, 2024, vol. 12, issue 6, 1-10

Abstract: A graph is symmetric if its automorphism group is transitive on the arcs of the graph. Guo et al. determined all of the connected seven-valent symmetric graphs of order 8 p for each prime p . We shall generalize this result by determining all of the connected seven-valent symmetric graphs of order 8 p q with p and q to be distinct primes. As a result, we show that for each such graph of Γ , it is isomorphic to one of seven graphs.

Keywords: normal quotient; symmetric graph; automorphism group (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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