Publication:
Some construction of group divisible designs GDD(m,n; 1, 3)

2
0

Issued Date

2015

Resource Type

Article

File Type

application/pdf

ISSN

13118080

DOI

10.12732/ijpam.v104i1.2

Other identifier(s)

2-s2.0-84941769417

Rights Holder(s)

Scopus

Bibliographic Citation

International Journal of Pure and Applied Mathematics. Vol 104, No.1 (2015), p.19-28

Suggested Citation

Uiyyasathian C., Punnim N. Some construction of group divisible designs GDD(m,n; 1, 3). International Journal of Pure and Applied Mathematics. Vol 104, No.1 (2015), p.19-28. doi:10.12732/ijpam.v104i1.2 Retrieved from: https://hdl.handle.net/20.500.14740/6248

Title

Some construction of group divisible designs GDD(m,n; 1, 3)

Author(s)

Uiyyasathian C.
 Punnim N.

Abstract

A group divisible design GDD(m,n; 1,3) is an ordered pair (V, B) where V is an (m + n)-set of symbols and B is a collection of 3-subsets (called blocks) of V satisfying the following properties: the (m + n)-set is divided into two groups of size m and n; each pair of symbols from the same group occurs in exactly one block in B; and each pair of symbols from different groups occurs in exactly three blocks in B. Given positive integers m and n, two necessary conditions on m and n for the existence of a GDD(m,n;1,3) are 6 | [m(m - 1) + n(n - 1)] and m ≢ n(mod 2). We show that these conditions are sufficient for the most cases. © 2015 Academic Publications, Ltd.

View online Resources

Research Projects

Organizational Units

Journal Issue

URI

https://hdl.handle.net/20.500.14740/6248

Collections

Scopus: Year 1983-2021

Endorsement

Review

Supplemented By

Referenced By