Proceedings of the 2014 International Conference on Mechatronics, Electronic, Industrial and Control Engineering

Hexavalent half-arc-transitive graphs of order 6p

Authors
Xiuyun Wang
Corresponding Author
Xiuyun Wang
Available Online November 2014.
DOI
10.2991/meic-14.2014.225How to use a DOI?
Keywords
Cayley graph; half-arc-transitive graph; transitive graph; Heawood graph; quotient graph
Abstract

A graph is half-arc-transitive if its auto orphism group acts transitively on its vertex set and edge set, but not arc set. Y-Q. Feng et al. gave the classification of tetravalent half-arc-transitive graph of order 6p. In this paper, we proved that hexavalent half-arc-transitive graph of order 6p has order 42.

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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Volume Title
Proceedings of the 2014 International Conference on Mechatronics, Electronic, Industrial and Control Engineering
Series
Advances in Engineering Research
Publication Date
November 2014
ISBN
10.2991/meic-14.2014.225
ISSN
2352-5401
DOI
10.2991/meic-14.2014.225How to use a DOI?
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/).

Cite this article

TY  - CONF
AU  - Xiuyun Wang
PY  - 2014/11
DA  - 2014/11
TI  - Hexavalent half-arc-transitive graphs of order 6p
BT  - Proceedings of the 2014 International Conference on Mechatronics, Electronic, Industrial and Control Engineering
PB  - Atlantis Press
SP  - 1006
EP  - 1009
SN  - 2352-5401
UR  - https://doi.org/10.2991/meic-14.2014.225
DO  - 10.2991/meic-14.2014.225
ID  - Wang2014/11
ER  -