The metamorphosis of lambda-fold block designs with block size four into lambda-fold triple systems

DOI10.1016/S0378-3758(02)00203-3zbMath0997.05013MaRDI QIDQ697991

Charles C. Lindner, Alexander Rosa

Publication date: 18 September 2002

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

zbMATH Keywords

triple systems\(\lambda\)-fold designs

Mathematics Subject Classification ID

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

Related Items (8)

The extended metamorphosis of a complete bipartite design into a cycle system ⋮ Triple metamorphosis of twofold triple systems ⋮ Metamorphosis of simple twofold triple systems into maximum twofold (\(K_4-e\))-packings ⋮ On the metamorphosis of a \(G\)-design into a (\(G-e\))-design ⋮ The metamorphosis of \(\lambda\)-fold block designs with block size four into a maximum packing of \(\lambda K_{n}\) with 4-cycles. ⋮ Determining the spectrum of \(\mathrm{Meta}(K_{4}+e>K_{4},\lambda)\) for any \(\lambda\) ⋮ The spectrum of \(\text{Meta}(K_3+e> P_4, \lambda)\) and \(\text{Meta}(K_3+e> H_4, \lambda)\) with any \(\lambda \) ⋮ The spectrum \(\mathrm{Meta}(H>T,\lambda)\) for some subgraphs \(H\) and \(T\) of \(K_4\)

Cites Work

• Nesting of cycle systems of odd length
• Blocking sets in designs with block size 4
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