Hamiltonian decomposition of \(K^*_ n\), patterns with distinct differences, and Tuscan squares

DOI10.1016/0012-365X(90)90235-AzbMath0758.05054MaRDI QIDQ1182863

Tuvi Etzion

Publication date: 28 June 1992

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

zbMATH Keywords

Latin squaresHamiltonian pathsHamiltonian decompositioncomplete digraphTuscan squareRoman squares

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) Directed graphs (digraphs), tournaments (05C20) Eulerian and Hamiltonian graphs (05C45)

Related Items (1)

Round-dance neighbour designs from terraces

Cites Work

• Sequences in groups with distinct partial products
• Algebraic constructions for Costas arrays
• A Hamiltonian decomposition of \(K^*_{2m},2m\geq 8\)
• Some new row-complete latin squares
• Row complete squares and a problem of A. Kotzig concerning P-quasigroups and Eulerian circuits
• Decomposition of the complete directed graph into k-circuits
• Constructions and properties of Costas arrays
• Latin Squares which Contain No Repeated Digrams
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