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1-REGULAR CAYLEY GRAPHS OF VALENCY 7
Published online by Cambridge University Press: 08 March 2013
Abstract
A graph $\mit{\Gamma} $ is called
$1$-regular if
$ \mathsf{Aut} \mit{\Gamma} $ acts regularly on its arcs. In this paper, a classification of
$1$-regular Cayley graphs of valency
$7$ is given; in particular, it is proved that there is only one core-free graph up to isomorphism.
Keywords
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 88 , Issue 3 , December 2013 , pp. 479 - 485
- Copyright
- Copyright ©2013 Australian Mathematical Publishing Association Inc.
References
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