2-perfect directed \(m\)-cycle systems can be equationally defined for \(m=3,4\), and \(5\) only

DOI10.1016/S0378-3758(96)00009-2zbMath0874.05015OpenAlexW2062120894MaRDI QIDQ1361701

Darryn E. Bryant, Charles C. Lindner

Publication date: 9 September 1997

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-3758(96)00009-2

zbMATH Keywords

varietyquasigroups\(m\)-cycle systems

Mathematics Subject Classification ID

Paths and cycles (05C38) Other designs, configurations (05B30) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Loops, quasigroups (20N05)

Related Items

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Concerning the number of mutually orthogonal latin squares
• \(2\)-perfect \(m\)-cycle systems can be equationally defined for \(m=3\), \(5\), and \(7\) only
• Decompositions of edge-colored complete graphs