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 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

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.

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

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.

Normal edge-transitive Cayley graphs on non-abelian groups of order 4p, where p is a prime number

2012 ◽  
Vol 56 (1) ◽  
pp. 213-219 ◽  
Author(s):  
Mohammad Reza Darafsheh ◽  
Amir Assari
Keyword(s):  
Prime Number ◽  
Abelian Groups ◽  
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

Non-normal edge-transitive directed Cayley graphs of abelian groups

2013 ◽  
Vol 7 (1) ◽  
pp. 7
Author(s):  
Mehdi Alaeiyan ◽  
Javad Mirzajani
Keyword(s):  
Abelian Groups ◽  
Cayley Graphs ◽  
Edge Transitive

scholarly journals Tetravalent edge-transitive Cayley graphs with odd number of vertices

2006 ◽  
Vol 96 (1) ◽  
pp. 164-181 ◽  
Author(s):  
Cai Heng Li ◽  
Zai Ping Lu ◽  
Hua Zhang
Keyword(s):  
Cayley Graphs ◽  
Edge Transitive

Normal edge-transitive and -arc-transitive semi-Cayley graphs

2017 ◽  
Vol 46 (3) ◽  
pp. 1287-1299
Author(s):  
A. R. Ashrafi ◽  
B. Soleimani
Keyword(s):  
Cayley Graphs ◽  
Edge Transitive
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