TY - JOUR
T1 - An application of modified group divisible designs
AU - Assaf, Ahmed M.
PY - 1994/10
Y1 - 1994/10
N2 - Let V be a finite set of order m × n, and assume that the points of V are arranged in an array of size m × n. A modified group divisible design is a group divisible design with the difference that each 2-subset {x, y} of V such that x and y are neither in the same row nor in the same column occurs λ times. In this paper we apply modified group divisible designs to construct covering designs, packing designs, and group divisible designs with block size 5.
AB - Let V be a finite set of order m × n, and assume that the points of V are arranged in an array of size m × n. A modified group divisible design is a group divisible design with the difference that each 2-subset {x, y} of V such that x and y are neither in the same row nor in the same column occurs λ times. In this paper we apply modified group divisible designs to construct covering designs, packing designs, and group divisible designs with block size 5.
UR - http://www.scopus.com/inward/record.url?scp=0043278270&partnerID=8YFLogxK
U2 - 10.1016/0097-3165(94)90095-7
DO - 10.1016/0097-3165(94)90095-7
M3 - Article
AN - SCOPUS:0043278270
SN - 0097-3165
VL - 68
SP - 152
EP - 168
JO - Journal of Combinatorial Theory, Series A
JF - Journal of Combinatorial Theory, Series A
IS - 1
ER -