On Sparse Countably Infinite Steiner Triple Systems

被引：10

作者：

Chicot, K. M. ^{[1
]}

Grannell, M. J. ^{[1
]}

Griggs, T. S. ^{[1
]}

Webb, B. S. ^{[1
]}

机构：

[1] Open Univ, Dept Math & Stat, Milton Keynes MK7 6AA, Bucks, England

来源：

JOURNAL OF COMBINATORIAL DESIGNS | 2010年 / 18卷 / 02期

关键词：

infinite Steiner triple system; sparse; uniform; ANTI-MITRE; RESOLUTION;

D O I：

10.1002/jcd.20227

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a general construction for Steiner triple systems on a countably infinite point set and show that it yields 2(aleph 0) nonisomorphic systems all of which are uniform and r-sparse for all finite r >= 4. (C) 2009 Wiley Periodicals, Inc. J Combin Designs 18: 115-122, 2010

引用

页码：115 / 122

页数：8

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