Resolvable maximum packings with quadruples

DOI10.1007/s10623-003-6739-6zbMath1066.05046OpenAlexW2042048765MaRDI QIDQ2486867

Alan C. H. Ling, Hao Shen, Gennian Ge, Clement Wing Hong Lam

Publication date: 17 August 2005

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-003-6739-6

zbMATH Keywords

4-framesresolvable packingsRGDDs

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Combinatorial aspects of packing and covering (05B40)

Related Items (21)

Some more uniformly resolvable designs with block sizes 2 and 4 ⋮ Group divisible designs with block size four and group type \(g^{u} m^{1}\) for small \(g\) ⋮ On uniformly resolvable designs with block sizes 3 and 4 ⋮ Embeddings of resolvable group divisible designs with block size 3 ⋮ Pair covering designs with block size 5 ⋮ Uniformly resolvable designs with block sizes 3 and 4 ⋮ Resolvable balanced incomplete block designs with subdesigns of block size 4 ⋮ Existence of \((v,\{5,w^*\},1)\)-PBDs. ⋮ A survey on resolvable group divisible designs with block size four. ⋮ Minimum resolvable coverings of \(K_{v}\) with copies of \(K_{4}-e\) ⋮ Small Uniformly Resolvable Designs for Block Sizes 3 and 4 ⋮ On the existence of maximum resolvable (\(K_{4} - e\))-packings ⋮ Group divisible designs with block size four and group type \(g^um^{1}\) where \(g\) is a multiple of 8 ⋮ Resolvable packings \(\widetilde{\text{R}}\text{MP}(3,2;n,n-3)\) and coverings \(\widetilde{\text{R}}\text{MC}(3,2;n,n-2)\) ⋮ Some more 5-GDDs, 4-frames and 4-RGDDs ⋮ Uniformly resolvable designs with index one and block sizes three and four - with three or five parallel classes of block size four ⋮ Resolvable group divisible designs with block size four and general index ⋮ Resolvable optimal strong partially balanced designs with block size four ⋮ Some new resolvable GDDs with \(k = 4\) and doubly resolvable GDDs with \(k = 3\) ⋮ Scheduling CCRR tournaments ⋮ Resolvable group divisible designs with block size four and index three

Cites Work

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• Frames with block size four and index three
• Resolvable group divisible designs with block size 3
• Resolvable group divisible designs with block size four and group size six
• Existence of resolvable group divisible designs with block size four. I
• A note on \(\{4\}\)-GDDs of type 2\(^{10}\)
• On resolvable designs
• Frames with Block Size Four
• Resolvable minimum coverings with quadruples
• Some New uniform frames with block size four and index one or three
• Group-divisible designs with block size k having k +1 groups, for k =4, 5
• Two new direct product‐type constructions for resolvable group‐divisible designs
• Resolvable group-divisible designs with block size four

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