| dc.contributor.author | Mwesigwa, Ronald | |
| dc.contributor.author | Sarvate, Dinesh G. | |
| dc.contributor.author | Li Zhang, Li | |
| dc.date.accessioned | 2021-05-04T07:31:11Z | |
| dc.date.available | 2021-05-04T07:31:11Z | |
| dc.date.issued | 2016-03-03 | |
| dc.identifier.citation | Mwesigwa, R., Sarvate, D. G., & Zhang, L. (2016). Group divisible designs of four groups and block size five with configuration (1; 1; 1; 2). Journal of Algebra Combinatorics Discrete Structures and Applications, 3(3), 187-194. | en_US |
| dc.identifier.uri | http://ir.must.ac.ug/xmlui/handle/123456789/755 | |
| dc.description.abstract | We present constructions and results about GDDs with four groups and block size five in which each block has Configuration (1; 1; 1; 2), that is, each block has exactly one point from three of the four groups and two points from the fourth group. We provide the necessary conditions of the existence of a GDD(n; 4; 5; _1; _2) with Configuration (1; 1; 1; 2), and show that the necessary conditions are sufficient for a GDD(n; 4; 5; _1; _2) with Configuration (1; 1; 1; 2) if n 6_ 0(mod 6), respectively. We also show that a GDD(n; 4; 5; 2n; 6(n 1)) with Configuration (1; 1; 1; 2) exists, and provide constructions for a GDD(n = 2t; 4; 5; n; 3(n 1)) with Configuration (1; 1; 1; 2) where n 6= 12, and a GDD(n = 6t; 4; 5; 4t; 2(6t 1)) with Configuration (1; 1; 1; 2) where n 6= 6 and 18, respectively. | en_US |
| dc.language.iso | en_US | en_US |
| dc.publisher | Journal of Algebra Combinatorics Discrete Structures and Applications | en_US |
| dc.subject | Group divisible designs (GDDs) | en_US |
| dc.subject | Latin squares | en_US |
| dc.subject | Block configurations | en_US |
| dc.subject | 1-factors | en_US |
| dc.subject | RGDDs | en_US |
| dc.subject | RBIBDs | en_US |
| dc.title | Group divisible designs of four groups and block size five with configuration (1; 1; 1; 2) | en_US |
| dc.type | Article | en_US |
