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

页码：537 / 545

页数：9

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