Classifying Seven-Valent Symmetric Graphs of Order 8pq

Autor: Yingbi Jiang, Bo Ling, Jinlong Yang, Yun Zhao
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Mathematics, Vol 12, Iss 6, p 787 (2024)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math12060787
Popis: 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 8p for each prime p. We shall generalize this result by determining all of the connected seven-valent symmetric graphs of order 8pq 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.
Databáze: Directory of Open Access Journals
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