It 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. © Australian Mathematical Publishing Association Inc. 2011.

Potočnik, P., Spiga, P., & Verret, G. (2011). Tetravalent arc-transitive graphs with unbounded vertex-stabilizers. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 84(1), 79-89 [10.1017/S0004972710002078].

Tetravalent arc-transitive graphs with unbounded vertex-stabilizers

SPIGA, PABLO
;
2011

Abstract

It 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. © Australian Mathematical Publishing Association Inc. 2011.
Articolo in rivista - Articolo scientifico
arc-transitive; valency four; Mathematics (all)
English
79
89
11
Potočnik, P., Spiga, P., & Verret, G. (2011). Tetravalent arc-transitive graphs with unbounded vertex-stabilizers. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 84(1), 79-89 [10.1017/S0004972710002078].
Potočnik, P; Spiga, P; Verret, G
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/133190
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