The classification of half-arc-transitive generalizations of Bouwer graphs
The classification of half-arc-transitive generalizations of Bouwer graphs
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DOI：
10.1016/j.ejc.2017.04.003
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发表时间：
2017-08
期刊：
影响因子：
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通讯作者：
Alejandra Ramos Rivera;P. Šparl
中科院分区：
文献类型：
--
作者：
Alejandra Ramos Rivera;P. Šparl
A graph is said to behalf-arc-transitiveif its automorphism group acts transitively on its vertex set and its edge set, but not on its arc set. In 1970 I. Z. Bouwer constructed an infinite family of vertex- and edge-transitive graphs for each even valence greater than 2 and proved that a subfamily of the constructed graphs, containing one graph for each even valence greater than 2, consists of half-arc-transitive graphs. In a recent paper Conder and Žitnik gave a complete classification of the half-arc-transitive Bouwer graphs.In this paper we generalize the Bouwer graphs to obtain a much larger family of vertex- and edge-transitive graphs, containing almost all so-called tightly attached quartic half-arc-transitive graphs. We give a complete classification of the half-arc-transitive members of this new family of graphs. All half-arc-transitive members are tightly attached.
