Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4654389 | European Journal of Combinatorics | 2008 | 9 Pages |
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
Authors
Sònia P. Mansilla, Oriol Serra,