scholarly journals Tetravalent edge-transitive Cayley graphs of Frobenius groups

2021 ◽  
Vol 53 (2) ◽  
pp. 527-551
Author(s):  
Lei Wang ◽  
Yin Liu ◽  
Yanxiong Yan
Keyword(s):  
Cayley Graphs ◽  
Frobenius Groups ◽  
Edge Transitive

Frobenius REA-groups and their Cayley graphs

2019 ◽  
pp. 2150007
Author(s):  
Lei Wang ◽  
Shou Hong Qiao
Keyword(s):  
Cayley Graph ◽  
Automorphism Groups ◽  
Cayley Graphs ◽  
Frobenius Groups ◽  
Edge Transitive

In this paper, we determine the automorphism groups of a class of Frobenius groups, and then solve that under what condition they are REA-groups. As an application, we construct a type of normal edge-transitive Cayley graph.

scholarly journals Normal edge-transitive Cayley graphs of Frobenius groups

2015 ◽  
Vol 42 (3) ◽  
pp. 803-827 ◽  
Author(s):  
Brian P. Corr ◽  
Cheryl E. Praeger
Keyword(s):  
Cayley Graphs ◽  
Frobenius Groups ◽  
Edge Transitive

scholarly journals Normal Edge-Transitive Cayley Graphs of the Group U6n

2014 ◽  
Vol 2014 ◽  
pp. 1-4
Author(s):  
A. Assari ◽  
F. Sheikhmiri
Keyword(s):  
Cayley Graph ◽  
Cayley Graphs ◽  
The Right ◽  
Edge Transitive

A Cayley graph of a group G is called normal edge-transitive if the normalizer of the right representation of the group in the automorphism of the Cayley graph acts transitively on the set of edges of the graph. In this paper, we determine all connected normal edge-transitive Cayley graphs of the group U6n.

scholarly journals Cubic arc-transitive Cayley graphs on Frobenius groups

2018 ◽  
Vol 17 (07) ◽  
pp. 1850126 ◽  
Author(s):  
Hailin Liu ◽  
Lei Wang
Keyword(s):  
Automorphism Group ◽  
Cayley Graph ◽  
Cayley Graphs ◽  
Frobenius Groups

A Cayley graph [Formula: see text] is called arc-transitive if its automorphism group [Formula: see text] is transitive on the set of arcs in [Formula: see text]. In this paper, we give a characterization of cubic arc-transitive Cayley graphs on a class of Frobenius groups.

On Reconstruction of Normal Edge-Transitive Cayley Graphs

2020 ◽  
Vol 24 (4) ◽  
pp. 791-807
Author(s):  
Behnam Khosravi ◽  
Behrooz Khosravi ◽  
Bahman Khosravi
Keyword(s):  
Cayley Graphs ◽  
Edge Transitive

scholarly journals Pentavalent arc-transitive Cayley graphs on Frobenius groups with soluble vertex stabilizer

2019 ◽  
Vol 17 (1) ◽  
pp. 513-518
Author(s):  
Hailin Liu
Keyword(s):  
Automorphism Group ◽  
Cayley Graph ◽  
Cayley Graphs ◽  
Frobenius Groups ◽  
Full Automorphism Group

Abstract A Cayley graph Γ is said to be arc-transitive if its full automorphism group AutΓ is transitive on the arc set of Γ. In this paper we give a characterization of pentavalent arc-transitive Cayley graphs on a class of Frobenius groups with soluble vertex stabilizer.

Tetravalent edge-transitive cayley graphs of PGL (2, p)

2013 ◽  
Vol 29 (4) ◽  
pp. 837-842
Author(s):  
Xiao-hui Hua ◽  
Shang-jin Xu ◽  
Yun-ping Deng
Keyword(s):  
Cayley Graphs ◽  
Edge Transitive

scholarly journals Cubic edge-transitive bi-Cayley graphs over inner-abelian p-groups

2019 ◽  
Vol 47 (5) ◽  
pp. 1973-1984
Author(s):  
Yan-Li Qin ◽  
Jin-Xin Zhou
Keyword(s):  
Cayley Graphs ◽  
Edge Transitive
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