scholarly journals ON CONNECTED TETRAVALENT NORMAL EDGE-TRANSITIVE CAYLEY GRAPHS OF NON-ABELIAN GROUPS OF ORDER 5p^2

2020 ◽  
Keyword(s):  
Abelian Groups ◽  
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

RELATIVE ELEMENTARY ABELIAN GROUPS AND A CLASS OF EDGE-TRANSITIVE CAYLEY GRAPHS

2015 ◽  
Vol 100 (2) ◽  
pp. 241-251 ◽  
Author(s):  
CAI HENG LI ◽  
LEI WANG
Keyword(s):  
Finite Groups ◽  
Abelian Groups ◽  
Cayley Graphs ◽  
Multipartite Graphs ◽  
Complete Multipartite Graphs ◽  
Complete Multipartite ◽  
Edge Transitive

Motivated by a problem of characterising a family of Cayley graphs, we study a class of finite groups $G$ which behave similarly to elementary abelian $p$-groups with $p$ prime, that is, there exists a subgroup $N$ such that all elements of $G\setminus N$ are conjugate or inverse-conjugate under $\mathsf{Aut}(G)$. It is shown that such groups correspond to complete multipartite graphs which are normal edge-transitive Cayley graphs.

scholarly journals Normal edge-transitive and \frac{1}{2}-arc-transitive cayley graphs on non-abelian groups of odd order 3pq, p and q are primes

2018 ◽  
Vol 49 (3) ◽  
pp. 183-194
Author(s):  
Ali Reza Ashrafi ◽  
Bijan Soleimani
Keyword(s):  
Cayley Graph ◽  
Abelian Groups ◽  
Cayley Graphs ◽  
Prime Numbers ◽  
Graph Of Groups ◽  
Odd Order ◽  
Edge Transitive

Suppose $p$ and $q$ are odd prime numbers. In this paper, the connected Cayley graph of groups of order $3pq$, for primes $p$ and $q$, are investigated and all connected normal $\frac{1}{2}-$arc-transitive Cayley graphs of group of these orders will be classified.

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.

Some properties of subgroup complementary addition Cayley graphs on abelian groups

2021 ◽  
Author(s):  
Naveen Palanivel ◽  
Chithra A. Velu
Keyword(s):  
Cayley Graph ◽  
Abelian Groups ◽  
Cayley Graphs ◽  
Graph Invariants

In this paper, we introduce subgroup complementary addition Cayley graph [Formula: see text] and compute its graph invariants. Also, we prove that [Formula: see text] if and only if [Formula: see text] for all [Formula: see text] where [Formula: see text].

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
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