A connection between varieties of quasigroups and graph decompositions

DOI10.1016/S0012-365X(03)00257-7zbMath1028.05090OpenAlexW2040983882MaRDI QIDQ1412661

C. A. Rodger, Charles C. Lindner

Publication date: 25 November 2003

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

Full work available at URL: https://doi.org/10.1016/s0012-365x(03)00257-7

zbMATH Keywords

Universal algebraGraph decompositionCycle system2-perfectVarietyQuasigroup

Mathematics Subject Classification ID

Paths and cycles (05C38) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Loops, quasigroups (20N05) Varieties (08B99)

Cites Work

• The spectrum for 2-perfect 6-cycle systems
• Varieties of quasigroups arising from 2-perfect \(m\)-cycle systems
• On equationally defining extended cycle systems
• \(2\)-perfect \(m\)-cycle systems can be equationally defined for \(m=3\), \(5\), and \(7\) only
• Decompositions of edge-colored complete graphs
• Decompositions of Complete Graphs Defined by Quasigroups
• On equationally defining m‐perfect 2m + 1 cycle systems
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