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Cubic Symmetric Graphs Having an Abelian Automorphism Group with Two Orbits by Koike, Hiroki; Kovács, István is a scholarly article available to read on EtoBox.

What is Cubic Symmetric Graphs Having an Abelian Automorphism Group with Two Orbits about?

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.

Author

Koike, Hiroki; Kovács, István

Published

2013

Language

EN