Pentavalent Cayley graphs of order twice a prime square with solvable automorphism groups
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作者:
Salarian, M. Reza
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机构:
Kharazmi Univ, Fac Math Sci & Comp, 50 Taleghani Ave, Tehran 1561836314, IranKharazmi Univ, Fac Math Sci & Comp, 50 Taleghani Ave, Tehran 1561836314, Iran
Salarian, M. Reza
[1
]
Abedi, Fateme
论文数: 0引用数: 0
h-index: 0
机构:
Kharazmi Univ, Fac Math Sci & Comp, 50 Taleghani Ave, Tehran 1561836314, IranKharazmi Univ, Fac Math Sci & Comp, 50 Taleghani Ave, Tehran 1561836314, Iran
Abedi, Fateme
[1
]
机构:
[1] Kharazmi Univ, Fac Math Sci & Comp, 50 Taleghani Ave, Tehran 1561836314, Iran
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.