Skolem and Rosa rectangles and related designs

DOI10.1016/j.disc.2014.05.005zbMath1297.05037OpenAlexW1978031588MaRDI QIDQ397147

Shai Mor, Vaclav Linek, Nabil Shalaby

Publication date: 8 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.disc.2014.05.005

zbMATH Keywords

disjoint cyclic Steiner triple systemsRosa sequencesSkolem arraysSkolem rectanglesSkolem sequences

Mathematics Subject Classification ID

Triple systems (05B07)

Related Items (2)

The existence of disjoint (hooked) near‐Rosa sequences and applications ⋮ Strong Skolem starters

Cites Work

• Langford sequences: Perfect and hooked
• Two-fold triple systems without repeated blocks
• The existence of near-Skolem and hooked near-Skolem sequences
• On certain distributions of integers in pairs with given differences
• Verification of a Conjecture of Th. Skolem.
• The spectrum for rotational Steiner triple systems
• On partitions of {1,…,2m + 1}\{k} into differences d,…,d + m − 1: Extended Langford sequences of large defect
• Disjoint skolem sequences and related disjoint structures
• Constructions of Disjoint Steiner Triple Systems
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