Irreducible 2-fold cycle systems

被引：1
|
作者：
Jenkins, Peter [1 ]
机构：
[1] Univ Queensland, Ctr Discrete Math & Comp, Dept Math, St Lucia, Qld 4072, Australia
来源：
JOURNAL OF COMBINATORIAL DESIGNS | 2006年 / 14卷 / 04期
关键词：
irreducible; cycle system; BIBD;
D O I：
10.1002/jcd.20068
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, it is shown that for any pair of integers (m, n) with 4 <= m <= n, if there exists an m-cycle system of order n, then there exists an irreducible 2-fold m-cycle system of order n, except when (m, n) = (5, 5). A similar result has already been established for the case of 3-cycles. (C) 2005 Wiley Periodicals. Inc.
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页码：324 / 332
页数：9
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