The asymptotic existence of group divisible designs of large order with index one

DOI10.1016/J.JCTA.2011.04.003zbMath1236.05052OpenAlexW2011395229MaRDI QIDQ549241

Hedvig Mohácsy

Publication date: 7 July 2011

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2011.04.003

zbMATH Keywords

transversal designsgroup divisible designsasymptotic existence

Mathematics Subject Classification ID

Other designs, configurations (05B30)

Related Items (6)

Pairwise balanced designs covered by bounded flats ⋮ Equiangular tight frames from group divisible designs ⋮ A large order asymptotic existence theorem for group divisible 3-designs with index one ⋮ The Asymptotic Existence of Group Divisible ‐Designs of Large Order with Index One ⋮ The Asymptotic Existence of Resolvable Group Divisible Designs ⋮ Resolvable group divisible designs with large groups

Cites Work

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• Asymptotic existence theorems for frames and group divisible designs
• On existence and number of orthogonal arrays
• An existence theory for pairwise balanced designs. III: Proof of the existence conjectures
• A construction for orthogonal arrays with strength \(t\geq 3\)
• The existence theorem for group divisible designs of large order
• A construction for group divisible \(t\)-designs with strength \(t\geqslant 2\) and index unity
• Decompositions of edge-colored complete graphs
• An existence theory for pairwise balanced designs. I: Composition theorems and morphisms

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