Abstract | ||
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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 |
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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 |
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Fugang Yin | 1 | 0 | 1.35 |
Yan-quan Feng | 2 | 350 | 41.80 |