Resolvable group divisible designs with block size four and group size six

DOI10.1016/S0012-365X(03)00039-6zbMath1018.05010OpenAlexW1978202062MaRDI QIDQ1398260

Gennian Ge, Clement Wing Hong Lam

Publication date: 29 July 2003

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0012-365x(03)00039-6

zbMATH Keywords

group divisible designresolvable

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Other designs, configurations (05B30)

Related Items (19)

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 \(g\) ⋮ A systematic approach to some block design constructions ⋮ 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 ⋮ Mandatory representation designs MRD(\(\{4,k\};v\)) with \(k\equiv 1 \mod 3\) ⋮ 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. ⋮ Small Uniformly Resolvable Designs for Block Sizes 3 and 4 ⋮ Kirkman frames having hole type \(h^um^1\) for \(h\equiv\mathrm{mod}\,12\) ⋮ Resolvable maximum packings with quadruples ⋮ Group divisible designs with block size four and group type \(g^um^{1}\) where \(g\) is a multiple of 8 ⋮ Some more 5-GDDs, 4-frames and 4-RGDDs ⋮ Resolvable group divisible designs with block size four and general index ⋮ Scheduling CCRR tournaments ⋮ Resolvable group divisible designs with block size four and index three

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• 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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