Cubic symmetric graphs having an abelian automorphism group with two orbits
Combinatorics
2015-04-14 v2
Abstract
Finite connected cubic symmetric graphs of girth 6 have been classified by K. Kutnar and D. Maru\v{s}i\v{c}, in particular, each of these graphs has an abelian automorphism group with two orbits on the vertex set. In this paper all cubic symmetric graphs with the latter property are determined. In particular, with the exception of the graphs K_4, K_{3,3}, Q_3, GP(5,2), GP(10,2), F40 and GP(24,5), all the obtained graphs are of girth 6.
Cite
@article{arxiv.1305.1190,
title = {Cubic symmetric graphs having an abelian automorphism group with two orbits},
author = {Hiroki Koike and István Kovács},
journal= {arXiv preprint arXiv:1305.1190},
year = {2015}
}
Comments
Keywords: cubic symmetric graph, Haar graph, voltage graph. This papaer has been withdrawn by the author because it is an outdated version