Geodesic
Locally 3-arc-transitive regular covers of complete bipartite graphs
Eric Swartz1
1College of William and Mary
The electronic journal of combinatorics, Tome 23 (2016) no. 2
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In this paper, locally $3$-arc-transitive regular covers of complete bipartite graphs are studied, and results are obtained that apply to arbitrary covering transformation groups. In particular, methods are obtained for classifying the locally $3$-arc-transitive graphs with a prescribed covering transformation group, and these results are applied to classify the locally $3$-arc-transitive regular covers of complete bipartite graphs with covering transformation group isomorphic to a cyclic group or an elementary abelian group of order $p^2$.
DOI : 10.37236/3506
Classification : 05C25, 05E18
Mots-clés : locally \(s\)-arc-transitive graphs, graph automorphisms, regular covers, group actions

Eric Swartz  1

1 College of William and Mary 
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Eric Swartz. Locally 3-arc-transitive regular covers of complete bipartite graphs. The electronic journal of combinatorics, Tome 23 (2016) no. 2. doi: 10.37236/3506

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