Mandatory representation designs MRD(\(\{4,k\};v\)) with \(k\equiv 1 \mod 3\)

DOI10.1016/j.disc.2003.09.005zbMath1030.05014OpenAlexW2148118169MaRDI QIDQ1420612

Gennian Ge

Publication date: 2 February 2004

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

Full work available at URL: https://doi.org/10.1016/j.disc.2003.09.005

zbMATH Keywords

Group divisible designsMandatory representation designsPairwise balanced designs

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05)

Related Items (3)

Group divisible designs with block size four and group type \(g^{u} m^{1}\) for small \(g\) ⋮ Mandatory representation designs MRD(4\(,k;v\)) with \(k\equiv 2\) mod 3 ⋮ Existence of \((v,K_{1(3)}\cup\{w^*\})\)-PBDs and its applications

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• Group-divisible designs with block size four and group-type \(g^um^1\) with \(m\) as large or as small as possible
• Existence of frame SOLS of type \(a^n b^1\)
• Necessary existence criteria for mandatory representation designs MRD (4, k; ν)
• 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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