On s-arc transitive hypergraphs

被引：0
|
作者：
Mansilla, Sonia P. [1 ]
Serra, Oriol [1 ]
机构：
[1] Univ Politecn Cataluna, Dept Matemat Aplicada 4, Barcelona, Spain
来源：
EUROPEAN JOURNAL OF COMBINATORICS | 2008年 / 29卷 / 04期
关键词：
D O I：
10.1016/j.ejc.2007.11.010
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A hypergraph is s-arc transitive if its automorphism group acts transitively on the set of its s-arcs. In this paper, We Study s-arc transitive hypergraphs. We show that if a hypergraph has degree at least three and all edges of sizes at least three, then s <= 5. Besides, given an s-arc transitive hypergraph, we prove that there are infinitely many s-arc transitive hypergraphs that cover the given one. These results extend to hypergraph classical results by Tutte, Weiss and Biggs for graphs. (c) 2007 Elsevier Ltd. All rights reserved.
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页码：1003 / 1011
页数：9
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