Article ID Journal Published Year Pages File Type
4654389 European Journal of Combinatorics 2008 9 Pages PDF
Abstract

A hypergraph is ss-arc transitive if its automorphism group acts transitively on the set of its ss-arcs. In this paper, we study ss-arc transitive hypergraphs. We show that if a hypergraph has degree at least three and all edges of sizes at least three, then s≤5s≤5. Besides, given an ss-arc transitive hypergraph, we prove that there are infinitely many ss-arc transitive hypergraphs that cover the given one. These results extend to hypergraph classical results by Tutte, Weiss and Biggs for graphs.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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