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.
Citazione: | 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. |
Tipo: | Articolo in rivista - Articolo scientifico |
Carattere della pubblicazione: | Scientifica |
Presenza di un coautore afferente ad Istituzioni straniere: | Si |
Titolo: | Tetravalent arc-transitive graphs with unbounded vertex-stabilizers |
Autori: | Potočnik, P; Spiga, P; Verret, G |
Autori: | |
Data di pubblicazione: | 2011 |
Lingua: | English |
Rivista: | BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1017/S0004972710002078 |
Appare nelle tipologie: | 01 - Articolo su rivista |
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