Varieties of quasigroups arising from 2-perfect \(m\)-cycle systems

DOI10.1007/BF00124894zbMath0767.05065OpenAlexW1969446947MaRDI QIDQ1200309

Darryn E. Bryant

Publication date: 16 January 1993

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00124894

zbMATH Keywords

decompositioncomplete graph\(m\)-cycle systems

Mathematics Subject Classification ID

Paths and cycles (05C38) Orthogonal arrays, Latin squares, Room squares (05B15) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Loops, quasigroups (20N05)

Related Items (5)

The spectrum for 2-perfect bowtie systems ⋮ \(2\)-perfect \(m\)-cycle systems can be equationally defined for \(m=3\), \(5\), and \(7\) only ⋮ A connection between varieties of quasigroups and graph decompositions ⋮ Varieties of algebras arising from \(K\)-perfect \(m\)-cycle systems ⋮ Varieties of quasigroups and related topics

Cites Work

• Steiner pentagon systems
• The spectrum for 2-perfect 6-cycle systems
• 2-perfect \(m\)-cycle systems
• Constructing identities for finite quasigroups
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