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On equationally defining extended cycle systems

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Publication:1367020
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DOI10.1016/S0012-365X(96)00136-7zbMath0908.05074MaRDI QIDQ1367020

C. A. Rodger, Charles C. Lindner

Publication date: 18 March 1999

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


zbMATH Keywords

graph decompositions2-perfect \(m\)-cycle systemsequationally definedextended 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) Triple systems (05B07)


Related Items (2)

A connection between varieties of quasigroups and graph decompositions ⋮ ON SINGLE LAWS FOR VARIETIES OF QUASIGROUPS ASSOCIATED WITH EXTENDED CYCLE SYSTEMS




Cites Work

  • \(2\)-perfect \(m\)-cycle systems can be equationally defined for \(m=3\), \(5\), and \(7\) only
  • On equationally defining m‐perfect 2m + 1 cycle systems
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