An application of modified group divisible designs

DOI10.1016/0097-3165(94)90095-7zbMath0814.05014OpenAlexW2060374617MaRDI QIDQ1336444

Ahmed M. Assaf

Publication date: 8 June 1995

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(94)90095-7

zbMATH Keywords

group divisible designblock designscovering designspacking designs

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Statistical block designs (62K10) Combinatorial aspects of packing and covering (05B40) General block designs in finite geometry (51E05)

Related Items

On covering designs with block size 5 and index 5, \(2p\)-cycle decompositions of some regular graphs and digraphs, Pair covering designs with block size 5, MGDD with block size 4 and its application to sampling designs, Decomposition of the tensor product of complete graphs into cycles of lengths 3 and 6, Resolvable balanced incomplete block designs with subdesigns of block size 4, Existence of \((v,\{5,w^*\},1)\)-PBDs., Modified group divisible designs with block size 5 and even index, Semi-cyclic holey group divisible designs with block size three, Some series of rectangular designs, Decompositions of some regular graphs into unicyclic graphs of order five, Semi-cyclic Holey Group Divisible Designs and Applications to Sampling Designs and Optical Orthogonal Codes, Unnamed Item, Unnamed Item, Modified group divisible designs with block size 4 and \(\lambda=1\), Directed covering with block size 5 and index even, Existence of holey 3-GDDs of type \((u,g^t w^1)\)

Cites Work

• Minimal coverings of pairs by triples
• Four MOLS of order 10 with a hole of order 2
• Covering triples by quadruples: an asymptotic solution
• Coverings of pairs by quintuples
• Coverings pairs by quintuples: The case v congruent to 3 (mod 4)
• Four mutually orthogonal Latin squares of orders \(28\) and \(52\)
• Balanced incomplete block designs and related designs
• Group divisible designs with block-size four
• Optimal packings of \(K_4\)'s into a \(K_n\)
• Packing pairs by quintuples with index 2: \(v\) odd, \(v\not\equiv 13\pmod{20}\)
• On the covering of pairs by quadruples. I
• On the covering of pairs by quadruples. II
• On resolvable designs
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item