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.

引用

页码：324 / 332

页数：9

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