Tetravalent arc-transitive graphs with unbounded vertex-stabilisers

Authors

  • Primoz Potocnik
  • Pablo Spiga
  • Gabriel Verret

Keywords:

valency 4, arc-transitive

Abstract

It has long been known that there exist finite connected tetravalent arc-transitive graphs with arbitrarily large vertex-stabilisers. However, beside a well known family of exceptional graphs, related to the lexicographic product of a cycle with an edgeless graph on two vertices, only a few such infinite families of graphs are known. In this paper, we present two more families of tetravalent arc-transitive graphs with large vertex-stabilisers, each significant for its own reason.

Published

2011-10-19

Issue

Vol. 84 No. 1 (2011)

Section

Articles
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