Decomposing triples into cyclic designs

DOI10.1016/j.disc.2009.08.015zbMath1231.05028OpenAlexW2035998498MaRDI QIDQ965944

Rui Zhong Wei, Zi Hong Tian

Publication date: 27 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.disc.2009.08.015

zbMATH Keywords

Steiner triple systemscyclic designssimple designs

Mathematics Subject Classification ID

Other designs, configurations (05B30) Triple systems (05B07)

Related Items (3)

Decomposing triples of \(\mathbb Z_{p^n}\) and \(\mathbb Z_{3p^n}\) into cyclic designs ⋮ Orbit-disjoint regular \((n, 3, 1)\)-CDPs and their applications to multilength OOCs ⋮ On cyclic near-Hamiltonian cycle system of the complete multigraph

Cites Work

• On large sets of Kirkman systems with holes
• Sylvester's problem of the 15 schoolgirls
• Construction for indecomposable simple \((v, k, \lambda)\)-BIBDs
• Super-simple cyclic designs with small values
• Simple and indecomposable twofold cyclic triple systems from Skolem sequences
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