Asymptotic existence theorems for frames and group divisible designs

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:114

Article

Liu, Jiuqiang

关键词: block designs;    frames;    group divisible designs;   

DOI  :  10.1016/j.jcta.2006.06.006

来源: Elsevier

【 摘 要 】

In this paper, we establish an asymptotic existence theorem for group divisible designs of type m(n) with block sizes in any given set K of integers greater than 1. As consequences, we will prove an asymptotic existence theorem for frames and derive a partial asymptotic existence theorem for resolvable group divisible designs. (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

Free