Finite vertex-biprimitive edge-transitive tetravalent graphs

Cai-Heng Li; Hua Zhang

doi:10.1016/j.disc.2013.11.006

Finite vertex-biprimitive edge-transitive tetravalent graphs

Cai-Heng Li, Hua Zhang

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Abstract

Ivanov and Iofinova classified vertex-biprimitive edge-transitive cubic graphs in 1985. As a natural generalization of Ivanov and Iofinova's work, in this paper we present a classification of tetravalent graphs which are G-vertex-biprimitive and G-edge-transitive for some automorphism group G of the graphs. © 2013 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	33-43
Number of pages	11
Journal	Discrete Mathematics
Volume	317
Issue number	1
Early online date	23 Nov 2013
DOIs	https://doi.org/10.1016/j.disc.2013.11.006
Publication status	Published - 28 Feb 2014

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Li, C-H., & Zhang, H. (2014). Finite vertex-biprimitive edge-transitive tetravalent graphs. Discrete Mathematics, 317(1), 33-43. https://doi.org/10.1016/j.disc.2013.11.006

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AB - Ivanov and Iofinova classified vertex-biprimitive edge-transitive cubic graphs in 1985. As a natural generalization of Ivanov and Iofinova's work, in this paper we present a classification of tetravalent graphs which are G-vertex-biprimitive and G-edge-transitive for some automorphism group G of the graphs. © 2013 Elsevier B.V. All rights reserved.

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10.1016/j.disc.2013.11.006