A note on varieties of groupoids arising from \(m\)-cycle systems

DOI10.1023/A:1022423910787zbMath0827.05033OpenAlexW185263983MaRDI QIDQ1893954

Darryn E. Bryant

Publication date: 27 November 1995

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022423910787

zbMATH Keywords

decompositionvarietygroupoid\(m\)-cycle systemequationally defined

Mathematics Subject Classification ID

Paths and cycles (05C38) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Equational logic, Mal'tsev conditions (08B05) Sets with a single binary operation (groupoids) (20N02)

Related Items (1)

Varieties of algebras arising from \(K\)-perfect \(m\)-cycle systems

Cites Work

• Neighbor designs
• \(2\)-perfect \(m\)-cycle systems can be equationally defined for \(m=3\), \(5\), and \(7\) only
• Decompositions of edge-colored complete graphs
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