Potočnik, Primož; Spiga, Pablo; Verret, Gabriel Tetravalent arc-transitive graphs with unbounded vertex-stabilizers. (English) Zbl 1222.05102 Bull. Aust. Math. Soc. 84, No. 1, 79-89 (2011). Summary: 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. Cited in 9 Documents MSC: 05C25 Graphs and abstract algebra (groups, rings, fields, etc.) 20B25 Finite automorphism groups of algebraic, geometric, or combinatorial structures PDFBibTeX XMLCite \textit{P. Potočnik} et al., Bull. Aust. Math. Soc. 84, No. 1, 79--89 (2011; Zbl 1222.05102) Full Text: DOI arXiv References: [1] DOI: 10.1007/978-1-4612-0731-3 · doi:10.1007/978-1-4612-0731-3 [2] Praeger, European J. Combin. 10 pp 91– (1989) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.