Tetravalent half-arc-transitive graphs of order pqr

DOI

10.2991/meic-14.2014.220How to use a DOI?

Keywords

cayley graph; vertex-transitive graph; half-arc-transitive graph; simple group;quotient graph

Abstract

A graph is half-arc-transitive if its automorphism group acts transitively on its vertex set, edge set, but not arc set. Let n be a product of three primes. The problem on classification of the half-arc-transitive graphs of order n has been considered in [J Algebraic Combin 1(1992) 275-282, Discrete Math 310(2010) 1721-1724, European J Combin 28(2007) 726-733], and it was solved for the cases where n is a prime cube or twice a product of two primes. In this paper, we give the classification of the tetravalent half-arc-transitive graphs of order pqr, where p, q, r are distinct odd primes.

Copyright

© 2014, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Xiuyun Wang
PY  - 2014/11
DA  - 2014/11
TI  - Tetravalent half-arc-transitive graphs of order pqr
BT  - Proceedings of the 2014 International Conference on Mechatronics, Electronic, Industrial and Control Engineering
PB  - Atlantis Press
SP  - 983
EP  - 986
SN  - 2352-5401
UR  - https://doi.org/10.2991/meic-14.2014.220
DO  - 10.2991/meic-14.2014.220
ID  - Wang2014/11
ER  -