Sylvester's problem of the 15 schoolgirls

DOI10.1016/0012-365X(74)90004-1zbMath0285.05002OpenAlexW2056457234MaRDI QIDQ1844834

Ralph Hugh Francis Denniston

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1016/0012-365x(74)90004-1

Mathematics Subject Classification ID

Permutations, words, matrices (05A05)

Related Items (31)

New results on large sets of Kirkman triple systems ⋮ A construction for large sets of disjoint Kirkman triple systems ⋮ Large sets of Kirkman triple systems of prime power sizes ⋮ A new result on Sylvester's problem ⋮ Double resolvability of some complete 3-designs ⋮ More results on large sets of Kirkman triple systems ⋮ On the seven non-isomorphic solutions of the fifteen schoolgirl problem ⋮ On large sets of Kirkman triple systems and 3-wise balanced design. ⋮ New large sets of resolvable Mendelsohn triple systems ⋮ A survey of Kirkman triple systems and related designs ⋮ Optimal partitions for triples ⋮ Partitions of triples into optimal packings ⋮ Further results on large sets of Kirkman triple systems ⋮ More large sets of resolvable MTS and DTS with even orders ⋮ More large sets of resolvable MTS and resolvable DTS with odd orders ⋮ Large sets of Kirkman triple systems with order \(q^n + 2\) ⋮ Direct constructions of large sets of Kirkman triple systems ⋮ Unnamed Item ⋮ Decomposing triples into cyclic designs ⋮ Some packings with Steiner triple systems ⋮ On overlarge sets of Kirkman triple systems ⋮ Large sets of Kirkman triple systems of orders \(2^{2 n + 1} + 1\) ⋮ Symmetric quasigroups of odd order ⋮ Another construction for large sets of Kirkman triple systems ⋮ Further cases of double resolvability ⋮ A tripling construction for overlarge sets of KTS ⋮ Some extremal connectivity results for matroids ⋮ Further results on overlarge sets of Kirkman triple systems ⋮ Existence of good large sets of Steiner triple systems ⋮ Transitive resolvable idempotent quasigroups and large sets of resolvable Mendelsohn triple systems ⋮ Some recent developments on BIBDs and related designs

Cites Work

• Some packings with Steiner triple systems
• Constructions of Disjoint Steiner Triple Systems

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