2-Arc-Transitive Regular Covers of Kn,n Having the Covering Transformation Group ℤp2
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DOI: 10.1007/s00493-016-3511-x
Abstract: This paper contributes to the classification of finite 2-arc-transitive graphs. In [12], all the regular covers of complete bipartite graphs Kn,n were classified, whose covering transformation group is cyclic and whose fibre-preserving automorphism group acts… read more here.
Keywords: transformation group; covering transformation; group; regular covers ... See more keywords
Highly arc-transitive digraphs with non-isomorphic local actions
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DOI: 10.1142/s0219498818500342
Abstract: This paper shows that, for any positive integer s, there exist s-arc-transitive digraphs which have non-isomorphic in-local action and out-local action. read more here.
Keywords: isomorphic local; non isomorphic; digraphs non; transitive digraphs ... See more keywords
Locally-primitive Arc-transitive 10-Valent Graphs of Square-free Order
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DOI: 10.1142/s1005386718000172
Abstract: In this paper, we present a complete classification for locally-primitive arc-transitive graphs which have square-free order and valency 10. The classification involves nine graphs and three infini... read more here.
Keywords: graphs square; locally primitive; arc transitive; free order ... See more keywords