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
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页码：115 / 122
页数：8
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