Finite bases for some PBD-closed sets

DOI10.1016/0012-365X(89)90362-2zbMath0683.05007OpenAlexW2058148091WikidataQ126409291 ScholiaQ126409291MaRDI QIDQ1824623

Ronald C. Mullin

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0012-365x(89)90362-2

zbMATH Keywords

pairwise balanced designPBD closure

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05)

Related Items (8)

On the existence of perfect Mendelsohn designs with \(k=7\) and \(\lambda{}\) even ⋮ On combinatorial designs with subdesigns ⋮ Four pairwise balanced designs ⋮ Packing designs with block size 6 and index 5 ⋮ Existence results for generalized balanced tournament designs with block size 3 ⋮ Mutually orthogonal Latin squares: A brief survey of constructions ⋮ Some recent developments on BIBDs and related designs ⋮ Existence of resolvable BIBDs with \(k=5\) and \(\lambda=4\)

Cites Work

• Pairwise balanced designs with block sizes \(6t+1\)
• More mutually orthogonal latin squares
• An existence theory for pairwise balanced designs. III: Proof of the existence conjectures
• Concerning the number of mutually orthogonal latin squares
• An existence theory for pairwise balanced designs. I: Composition theorems and morphisms
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