Finite 1-Regular Cayley Graphs of Valency 5-Reference-Cited by-同舟云学术

Finite 1-Regular Cayley Graphs of Valency 5

Published:2013-03-27 Issue: Volume:2013 Page:1-3
ISSN:1687-9163
Container-title:International Journal of Combinatorics
language:en
Short-container-title:International Journal of Combinatorics

Author:

Li Jing Jian¹²,Lou Ben Gong¹,Zhang Xiao Jun²³

Affiliation:

1. School of Mathematics and Statistics, Yunnan University, Kunming, Yunnan 650031, China

2. School of Mathematics and Information Sciences, Guangxi University, Nanning 530004, China

3. School of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China

Abstract

Let and . We say is -regular Cayley graph if acts regularly on its arcs. is said to be core-free if is core-free in some . In this paper, we prove that if an -regular Cayley graph of valency is not normal or binormal, then it is the normal cover of one of two core-free ones up to isomorphism. In particular, there are no core-free -regular Cayley graphs of valency .

Publisher

Hindawi Limited

Link

http://downloads.hindawi.com/archive/2013/125916.pdf

Reference8 articles.

1. Finite 𝑠-arc transitive Cayley graphs and flag-transitive projective planes

2. Cubic s-arc transitive Cayley graphs

3. A One-Regular Graph of Degree Three

4. Remarks on Path-transitivity in Finite Graphs

5. A Family of One-regular Graphs of Valency 4

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1. Core-Free Pentavalent 2-Regular Cayley Graphs Whose Cayley Subsets S Are All 2-Order Elements with Vertex Stabilizer F<sub>20</sub>;Pure Mathematics;2024

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