%0 Journal Article
%T Tetravalent arc-transitive graphs with unbounded vertex-stabilisers
%A Primoz Potocnik
%A Pablo Spiga
%A Gabriel Verret
%J Mathematics
%D 2010
%I arXiv
%X 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.
%U http://arxiv.org/abs/1010.2549v1