Strongly 2-perfect cycle systems and their quasigroups

DOI10.1016/S0012-365X(96)00225-7zbMath0878.05070OpenAlexW2002405918MaRDI QIDQ1356454

Sheila Oates-Williams, Darryn E. Bryant

Publication date: 5 January 1998

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

Full work available at URL: https://doi.org/10.1016/s0012-365x(96)00225-7

zbMATH Keywords

decompositioncyclevarietyquasigroup\(m\)-cycle system

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Paths and cycles (05C38) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Loops, quasigroups (20N05) Sets with a single binary operation (groupoids) (20N02)

Cites Work

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• \(2\)-perfect \(m\)-cycle systems can be equationally defined for \(m=3\), \(5\), and \(7\) only
• Varieties of quasigroups and related topics
• Decompositions of Complete Graphs Defined by Quasigroups
• Constructing identities for finite quasigroups

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