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ON ARC-REGULAR FROBENIUS METACIRCULANTS

Part of: Graph theory Permutation groups

Published online by Cambridge University Press:  10 February 2016

JIANGMIN PAN ,
ZHAOHONG HUANG  and
SHIQIN PENG
JIANGMIN PAN*
Affiliation:
School of Mathematics and Statistics, Yunnan University of Finance and Economics, Kunming, PR China email jmpan@ynu.edu.cn
ZHAOHONG HUANG
Affiliation:
School of Mathematics and Statistics, Yunnan University, Kunming, PR China
SHIQIN PENG
Affiliation:
School of Mathematics and Statistics, Yunnan University of Finance and Economics, Kunming, PR China
*
✉jmpan@ynu.edu.cn
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Abstract

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A graph is called arc-regular if its full automorphism group acts regularly on its arc set. In this paper, we completely determine all the arc-regular Frobenius metacirculants of prime valency.

Keywords

arc-regular graphmetacirculantFrobenius groupCayley graph

MSC classification

Primary: 20B15: Primitive groups
Secondary: 20B30: Symmetric groups 05C25: Graphs and abstract algebra (groups, rings, fields, etc.)
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 94 , Issue 1 , August 2016 , pp. 20 - 29
Copyright
© 2016 Australian Mathematical Publishing Association Inc. 

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