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
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
收藏
页码:94 / 117
页数:24
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