Embeddability and construction of affine α-resolvable pairwise balanced designs

被引：0

作者：

Bekker, B

Ionin, YJ

Shrikhande, MS

机构：

[1] St Petersburg State Univ, Dept Math, St Petersburg, Russia

[2] Cent Michigan Univ, Dept Math, Mt Pleasant, MI 48859 USA

来源：

JOURNAL OF COMBINATORIAL DESIGNS | 1998年 / 6卷 / 02期

关键词：

pairwise balanced design; resolvable; affine resolvable symmetric design;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An affine alpha-resolvable PBD of index lambda is a triple (V, B, R), where V is a set (of points), B is a collection of subsets of V (blocks), and R is a partition of B (resolution), satisfying the following conditions: (i) any two points occur together in lambda blocks, (ii) any point occurs in ac blocks of each resolution class, and (iii) \B\ = \V\ + \R\ - 1. Those designs embeddable in symmetric designs are described and two infinite series of embeddable designs are constructed. The analog of the Bruck-Ryser-Chowla theorem for affine alpha-resolvable PBDs is obtained. (C) 1998 John Wiley & Sons, Inc.

引用

页码：111 / 129

页数：19