✦ LIBER ✦

A general construction for group-divisible designs

✍ Scribed by D.R. Stinson

Publisher: Elsevier Science
Year: 1981
Tongue: English
Weight: 911 KB
Volume: 33
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(81)90261-2

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Some construction of group divisible des

Some construction of group divisible designs with singer groups

✍ K.T. Arasu; Alexander Pott 📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 451 KB

Arasu, K.T. and A. Pott, Some constructions of group divisible designs with Singer groups, Discrete Mathematics 97 (1991) 39-45. Let D be a Menon difference set in a group G with parameters (4u2, 2~' -u, u\* -u) and T a divisible difference set (DDS) with parameters (m. n, k, A,, A,) in a group H re

A General Construction for Optimal Cycli

A General Construction for Optimal Cyclic Packing Designs

✍ Jianxing Yin 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 118 KB

Cyclic packing designs of pairs have various applications in communications. In this paper, the concept of a (g 1 , g 2 , ..., g r ; u)-regular cyclic packing design is defined, and used to establish a quite general recursive construction concerning cyclic packing designs. As corollaries, we are abl

Orthogonal group divisible designs of ty

Orthogonal group divisible designs of type hn for h ≤ 6

✍ Xuebin Zhang 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 101 KB

## Abstract For the existence problem of __OGDDs__ of type __g^u^__, Colbourn and Gibbons settled it with few possible exceptions for each group size __g__. In this article, we will completely settle it for __g__ ≤ 6. © 2006 Wiley Periodicals, Inc. J Combin Designs

An Existence Theorem for Group Divisible

An Existence Theorem for Group Divisible Designs of Large Order

✍ Hedvig Mohácsy; D.K. Ray-Chaudhuri 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 129 KB

The following result gives a partial answer to a question of R. M. Wilson regarding the existence of group divisible designs of large order. Let k and u be positive integers, 2 [ k [ u. Then there exists an integer m 0 =m 0 (k, u) such that there exists a group divisible design of group type m u wit

Some Constructions of Semi-Regular Group

Some Constructions of Semi-Regular Group Divisible Designs

✍ S. M. Shah; Dr. D. G. Kabe 📂 Article 📅 1981 🏛 John Wiley and Sons 🌐 English ⚖ 189 KB 👁 2 views

A class of group divisible 3-designs and

A class of group divisible 3-designs and their applications

✍ J. Wang; L. Ji 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 119 KB

## Abstract In this article, we first show that a group divisible 3‐design with block sizes from {4, 6}, index unity and group‐type 2^__m__^ exists for every integer __m__≥ 4 with the exception of __m__ = 5. Such group divisible 3‐designs play an important role in our subsequent complete solution t