Skolem sequences and additive permutations

DOI10.1016/0012-365X(81)90214-4zbMath0468.05002WikidataQ126657575 ScholiaQ126657575MaRDI QIDQ1156133

Anton Kotzig, Jaromir Abrham

Publication date: 1981

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

zbMATH Keywords

cyclic Steiner triple systemsadditive permutations

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Steiner systems in finite geometry (51E10)

Related Items (16)

Uniform two-class regular partial Steiner triple systems ⋮ Equidistant frequency permutation arrays and related constant composition codes ⋮ Extended near Skolem sequences Part I ⋮ Langford sequences and a product of digraphs ⋮ On a conjecture about \((m_1,m_2)\)-near-Skolem sequences ⋮ Langford sequences: Some connections with complete and additive permutations ⋮ Unnamed Item ⋮ Enclosings of λ‐Fold 5‐Cycle Systems: Adding One Vertex ⋮ Support sizes of completely decomposable triple systems ⋮ Perfect difference families, perfect difference matrices, and related combinatorial structures ⋮ Simple and indecomposable twofold cyclic triple systems from Skolem sequences ⋮ Enclosings of \(\lambda\)-fold 5-cycle systems for \(u = 2\) ⋮ 5-cycle systems of \((\lambda + m) K_{v + 1} - \lambda K_v\) and \(\lambda K_{v + u} - \lambda K_v\) ⋮ Unnamed Item ⋮ Starter sequences and M-fold starter sequences: How can you begin? ⋮ Support sizes of completely decomposable TS\((v, 4)\)

Cites Work

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• Regular perfect systems of difference sets
• On the Skolem method for the construction of cyclic systems of Steiner triples
• On certain distributions of integers in pairs with given differences
• An Updated Bibliography and Survey of Steiner Systems

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