Title
Symmetric Graphs Of Valency 4 Having A Quasi-Semiregular Automorphism
Abstract
Feng et al. (2019) characterized connected G-symmetric graphs of valency 4 having a quasi-semiregular automorphism, namely, a graph automorphism fixing a unique vertex in the vertex set of the graph and keeping the lengths of all other orbits equal, when G is soluble or the vertex stabilizer in G is not a 2-group. In this paper we prove that a connected symmetric graph with valency 4 having a quasi-semiregular automorphism is a Cayley graph on a group G with respect to S, where G is abelian of odd order and S is an orbit of a group of automorphisms of the group G. (C) 2021 Elsevier Inc. All rights reserved.
Year
DOI
Venue
2021
10.1016/j.amc.2021.126014
APPLIED MATHEMATICS AND COMPUTATION
Keywords
DocType
Volume
Simple group, Symmetric graph, Quasi-semiregular automorphism
Journal
399
ISSN
Citations 
PageRank 
0096-3003
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Fugang Yin101.35
Yan-quan Feng235041.80