Simple and indecomposable twofold cyclic triple systems from Skolem sequences

DOI<402::AID-JCD2>3.0.CO;2-R 10.1002/1520-6610(2000)8:6<402::AID-JCD2>3.0.CO;2-RzbMath0981.05018OpenAlexW2024896085MaRDI QIDQ4527887

R. S. Rees, Nabil Shalaby

Publication date: 14 March 2002

Full work available at URL: https://doi.org/10.1002/1520-6610(2000)8:6<402::aid-jcd2>3.0.co;2-r

zbMATH Keywords

Steiner triple systemstwofold triple systemSkolem-type sequences

Mathematics Subject Classification ID

Triple systems (05B07)

Related Items (4)

1‐rotationally resolvable 4‐cycle systems of 2K_v ⋮ Cyclic block designs with block size 3 from Skolem-type sequences ⋮ Decomposing triples into cyclic designs ⋮ Unnamed Item

Cites Work

• Two-fold triple systems without repeated blocks
• Cyclic block designs with block size 3
• Skolem sequences and additive permutations
• Extended Langford sequences with small defects
• Construction for indecomposable simple \((v, k, \lambda)\)-BIBDs
• Indecomposable triple systems exist for all lambda
• On certain distributions of integers in pairs with given differences
• Verification of a Conjecture of Th. Skolem.
• Extended skolem sequences

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