Mandatory representation designs

DOI10.1016/0097-3165(88)90061-1zbMath0661.05014OpenAlexW1993308836MaRDI QIDQ1112825

Eric Mendelsohn, R. S. Rees

Publication date: 1988

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(88)90061-1

zbMATH Keywords

PBDpairwise balanced design

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05)

Related Items (7)

Linear spaces with many small lines ⋮ Unnamed Item ⋮ On combinatorial designs with subdesigns ⋮ Mandatory representation designs MRD(\(\{4,k\};v\)) with \(k\equiv 1 \mod 3\) ⋮ Necessary existence criteria for mandatory representation designs MRD (4, k; ν) ⋮ Mandatory representation designs MRD(4\(,k;v\)) with \(k\equiv 2\) mod 3 ⋮ Mandatory representation designs MR\((3, k; \upsilon)\) with \(k\) even and \(\upsilon\) odd

Cites Work

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• Minimal coverings of pairs by triples
• Uniformly resolvable pairwise balanced designs with blocksizes two and three
• Subspaces of linear spaces of line size 4
• Optimal packings of \(K_4\)'s into a \(K_n\)
• Maximal and minimal coverings of (k - 1)-tuples by k-tuples
• Embeddings of Steiner triple systems
• On Partially Resolvable t–Partitions

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