Group divisible designs with two associate grasses: n=2 or m=2

被引：33

作者：

Fu, HL ^{[1
]}

Rodger, CA

机构：

[1] Natl Chiao Tung Univ, Dept Appl Math, Hsinchu, Taiwan

[2] Auburn Univ, Dept Discrete & Stat Sci, Auburn, AL 36849 USA

[3] Univ Canterbury, Christchurch 1, New Zealand

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES A | 1998年 / 83卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1006/jcta.1998.2868

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper ive iind necessary and sufficient conditions For the existence of a group divisible design GDD(n, m) of index (lambda(1), lambda(2)) in which n = 2 or m = 2, thereby completing the solution of the existence problem for all n, m, lambda(1), and lambda(2). In the process. necessary and sufficient conditions are found For the existence of an x-regular partial triple system whose complement in lambda K-n has a 1-factorization. (C) 1998 Academic Press.

引用

页码：94 / 117

页数：24

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