Embedding Steiner triple systems into Steiner systems \(S(2,4,v)\).

DOI10.1016/S0012-365X(03)00089-XzbMath1033.05016MaRDI QIDQ1421522

Alexander Rosa, Mariusz Meszka

Publication date: 26 January 2004

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

zbMATH Keywords

embeddingSteiner triple systems

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Triple systems (05B07)

Related Items

Minimum embedding of STSs into \((K_3+e)\)-systems ⋮ Nesting House-designs ⋮ Minimum embedding of balanced \(P_{4}\)-designs into 5-cycle systems. ⋮ Sampling complete designs ⋮ Minimum embedding of \(P_{3}\)-designs into \(\mathrm{TS}(v,\lambda )\) ⋮ Minimum embedding of any Steiner triple system into a 3-sun system via matchings ⋮ Embedding Steiner triple systems in hexagon triple systems ⋮ Minimum embedding of P3-designs into (K4?e)-designs ⋮ Minimum embedding of a \(P_{4}\)-design into a balanced incomplete block design of index \(\lambda \) ⋮ ON THE EMBEDDING OF GROUPS AND DESIGNS IN A DIFFERENCE BLOCK DESIGN

Cites Work

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• The Steiner systems S(2,4,25) with nontrivial automorphism group
• Quadruple systems containing \(AG(3,2)\)
• Embeddings of Steiner triple systems
• On Cyclic Steiner 2-Designs
• Projective Embeddings of Small “Steiner Triple Systems”
• A Class of Steiner Triple Systems of Order 21 and Associated Kirkman Systems
• On Sets of Type (m, n) in Bibd's with λ ≥ 2
• Pairwise Balanced Designs with Block Sizes Three and Four
• The complete classification of Steiner systems S(2, 4, 25)
• Colouring Steiner systems with specified block colour patterns

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