Minimum embedding of P3-designs into (K4?e)-designs

DOI10.1002/jcd.10044zbMath1028.05011OpenAlexW2032063366MaRDI QIDQ4434542

Gaetano Quattrocchi, Alan C. H. Ling, Charles J. Colbourn

Publication date: 10 November 2003

Published in: Journal of Combinatorial Designs (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/jcd.10044

zbMATH Keywords

embeddinggraph designresolvable designsubdesign

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05)

Related Items (13)

Grooming in unidirectional rings: \(K_{4}-e\) designs ⋮ On the existence of resolvable \((K_{3} + e)\)-group divisible designs ⋮ Kite-group divisible designs of type \(g^{ t } u^{1}\) ⋮ Nesting House-designs ⋮ Sampling complete designs ⋮ Small embedding of an \(S_3(2,4,u)\) into an \(S_\lambda (2,4,u+w)\) ⋮ Minimum embedding of \(P_{3}\)-designs into \(\mathrm{TS}(v,\lambda )\) ⋮ Maximum embedding of aE₂(v − w, 4, 1) into aP(v, 4,λ) ⋮ Minimum embedding of Steiner triple systems into \((K_4 - e)\)-designs. II ⋮ Minimum embedding of Steiner triple systems into \((K4-e)\)-designs. I ⋮ Simple minimum (\(K_4 - e\))-coverings of complete multipartite graphs ⋮ Minimum embedding of a \(P_{4}\)-design into a balanced incomplete block design of index \(\lambda \) ⋮ Embeddings of \(P_{3}\)-designs into bowtie and almost bowtie systems

Cites Work

• Embedding Steiner triple systems into Steiner systems \(S(2,4,v)\).
• Minimum embedding of Steiner triple systems into \((K4-e)\)-designs. I
• Unnamed Item

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