Please use this identifier to cite or link to this item: https://ir.swu.ac.th/jspui/handle/123456789/13777
ชื่อเรื่อง: Some construction of group divisible designs GDD(m,n; 1, 3)
ผู้แต่ง: Uiyyasathian C.
Punnim N.
วันที่เผยแพร่: 2015
บทคัดย่อ: 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.
URI: https://ir.swu.ac.th/jspui/handle/123456789/13777
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84941769417&doi=10.12732%2fijpam.v104i1.2&partnerID=40&md5=2c9d6644b9078f4901f4f074af9e5013
ISSN: 13118080
Appears in Collections:Scopus 1983-2021

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