The Doyen--Wilson theorem for kite systems

DOI10.1016/j.disc.2006.03.074zbMath1104.05011OpenAlexW1990145597MaRDI QIDQ2433726

Antoinette Tripodi, Giovanni Lo Faro

Publication date: 30 October 2006

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

Full work available at URL: https://doi.org/10.1016/j.disc.2006.03.074

zbMATH Keywords

embeddingdifference set

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Other designs, configurations (05B30) Triple systems (05B07)

Related Items

Gregarious kite decomposition of tensor product of complete graphs ⋮ Kite-group divisible designs of type \(g^{ t } u^{1}\) ⋮ Minimum embedding of STSs into \((K_3+e)\)-systems ⋮ Minimum embedding of a KS\((u,\lambda)\) into a KS\((u+w,\mu)\) ⋮ Gregarious kite factorization of tensor product of complete graphs ⋮ Minimum embedding of any Steiner triple system into a 3-sun system via matchings ⋮ Unnamed Item ⋮ The Doyen-Wilson theorem for 3-sun systems ⋮ Intersections among Steiner systemsS(k,k+ 1,v) ⋮ Blocking sets inG-designs andK_3,3- designs ⋮ Embedding path designs into kite systems

Cites Work

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• \(G\)-decomposition of \(K_n\), where G has four vertices or less
• The Doyen-Wilson theorem extended to 5-cycles
• Two Doyen-Wilson theorems for maximum packings with triples
• The Doyen-Wilson theorem for maximum packings of \(K_n\) with 4-cycles
• Embeddings of Steiner triple systems
• On the doyen‐wilson theorem for m‐cycle systems