Graphical t-wise balanced designs

DOI10.1016/0012-365X(83)90117-6zbMath0521.05013OpenAlexW2076636442MaRDI QIDQ1055421

Donald L. Kreher, Earl S. Kramer, Leo G. II Chouinard

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0012-365x(83)90117-6

zbMATH Keywords

complete grapht-designlabelled edges

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Graph theory (05C99)

Related Items (12)

A new existence proof for Steiner quadruple systems ⋮ Bounding graphical \(t\)-wise balanced designs ⋮ Decomposable super‐simple BIBDs with block size 4 and index 4, 6 ⋮ Bussey systems and Steiner's tactical problem ⋮ An \(S_ 3(3,5,21)\) using graphs ⋮ Graphical \(t\)-designs with block sizes three and four ⋮ On graphical quintuple systems ⋮ Hypergraphical \(t\)-designs ⋮ Subdesigns in Steiner quadruple systems ⋮ New 2-Edge-Balanced Graphs from Bipartite Graphs ⋮ Steiner graphical \(t\)-wise balanced designs of type \(n^r\) ⋮ Graphical \(t\)-designs via polynomial Kramer-Mesner matrices

Cites Work

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• The family of t-designs. Part I
• Non-existence d'un 3-design de paramètres \(\lambda=2\), \(k=5\) et \(v=11\)
• Balanced incomplete block designs and related designs
• t-designs on hypergraphs

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