Small embeddings of partial directed triple systems and partial triple systems with even \(\lambda\)

DOI10.1016/0097-3165(84)90059-1zbMath0559.05010OpenAlexW2073892868MaRDI QIDQ802563

Charles J. Colbourn, C. A. Rodger, Rose C. Hamm

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0097-3165(84)90059-1

zbMATH Keywords

triple systemdirected triple system

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Other designs, configurations (05B30)

Related Items (2)

Embedding partial triple systems ⋮ Small embeddings for partial triple systems of odd index

Cites Work

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• Embedding partial Steiner triple systems is NP-complete
• All directed BIBDs with k=3 exist
• A partial Steiner triple system of order n can be embedded in a Steiner triple system of order 6n + 3
• Every twofold triple system can be directed
• The completion of finite incomplete Steiner triple systems with applications to loop theory
• Directed triple systems
• Embedding Partial Graph Designs, Block Designs, and Triple Systems with λ > 1
• The Existence and Construction of Balanced Incomplete Block Designs
• A Survey of Embedding Theorems for Steiner Systems
• Embedding Partial Steiner Triple Systems
• A Solution to the Embedding Problem for Partial Idempotent Latin Squares

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