1-REGULAR CAYLEY GRAPHS OF VALENCY 7

Autor: Bo Ling, Geng Rong Zhang, Jing Jian Li
Rok vydání: 2013
Předmět:
Zdroj: Bulletin of the Australian Mathematical Society. 88:479-485
ISSN: 1755-1633
0004-9727
DOI: 10.1017/s0004972713000087
Popis: 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.
Databáze: OpenAIRE