The fine structure of threefold triple systems: \(v\equiv 1 \text{ or }3\pmod 6\)

DOI10.1016/0012-365X(91)90266-5zbMath0765.05015MaRDI QIDQ1182923

Charles J. Colbourn, Nabil Shalaby, Rudolf A. Mathon, Alexander Rosa

Publication date: 28 June 1992

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

zbMATH Keywords

fine structurethreefold triple system3-factorization

Mathematics Subject Classification ID

Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Statistical block designs (62K10) Triple systems (05B07)

Related Items (5)

The spectrum of \(\lambda\)-times repeated blocks for \(\text{TS}(v,\lambda)\) ⋮ The fine structures of three pairwise distinct Latin squares ⋮ Balanced block designs and various properties ⋮ The intersection spectrum of Skolem sequences and its applications to \(\lambda\)-fold cyclic triple systems ⋮ The intersection spectrum of hooked Skolem sequences and applications

Cites Work

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• The spectrum of support sizes for threefold triple systems
• The number of repeated blocks in twofold triple systems
• The spectrum for three-times repeated blocks in an \(S_ 3(2,3,v)\)
• Support sizes of sixfold triple systems
• Embeddings of Steiner triple systems
• Orderly algorithms for graph generation
• Steiner Triple Systems Having a Prescribed Number of Triples in Common*: Corrigendum

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