Intersection Problem for Simple 2-fold (3n, n, 3) Group Divisible Designs

被引：0
|
作者：
Demirkale, Fatih [1 ]
Donovan, Diane [1 ]
Lindner, C. C. [2 ]
机构：
[1] Univ Queensland, Sch Math & Phys, Ctr Discrete Math & Comp, Brisbane, Qld 4072, Australia
[2] Auburn Univ, Dept Math & Stat, Auburn, AL 36849 USA
来源：
GRAPHS AND COMBINATORICS | 2015年 / 31卷 / 03期
关键词：
Intersection problem; Group divisible designs; Quasigroups; TRIPLE-SYSTEMS;
D O I：
10.1007/s00373-013-1397-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we will give intersection numbers for two simple 2-fold (3n, n, 3) group divisible designs. More precisely, we will develop constructions which show that there exists two simple 2-fold (3n, n, 3) group divisible designs which intersect in precisely triples for . There are some exceptions for n = 2, 3, 4.
引用
收藏
页码：537 / 545
页数：9
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