Author:
POTOČNIK PRIMOŽ,SPIGA PABLO,VERRET GABRIEL
Abstract
AbstractIt has long been known that there exist finite connected tetravalent arc-transitive graphs with arbitrarily large vertex-stabilizers. 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-stabilizers, each significant for its own reason.
Publisher
Cambridge University Press (CUP)
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