Pentavalent Cayley graphs of order twice a prime square with solvable automorphism groups

被引：0
|
作者：
Salarian, M. Reza [1 ]
Abedi, Fateme [1 ]
机构：
[1] Kharazmi Univ, Fac Math Sci & Comp, 50 Taleghani Ave, Tehran 1561836314, Iran
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2023年 / 22卷 / 09期
关键词：
Cayley graph; normal Cayley graph; bi-Cayley graph;
D O I：
10.1142/S021949882350189X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A Cayley graph Cay(G, S) on a finite group G is said to be normal if the right regular representation R(G) of G is normal in the full automorphism group of Cay(G, S). In this paper, we classify all connected pentavalent non-normal Cayley graphs of order 2p(2) with solvable automorphism groups and p > 3 a prime.
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