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.

引用

页码：1003 / 1011

页数：9

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