Fractions of permutations. An application to Sudoku

DOI10.1016/j.jspi.2011.06.001zbMath1235.62105OpenAlexW2059077566MaRDI QIDQ719456

Roberto Fontana

Publication date: 10 October 2011

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

Full work available at URL: https://doi.org/10.1016/j.jspi.2011.06.001

zbMATH Keywords

design of experimentspermutation matrix

Mathematics Subject Classification ID

Factorial statistical designs (62K15)

Related Items (9)

Construction of Sudoku-based uniform designs with mixed levels ⋮ On the number of mutually disjoint pairs of \(S\)-permutation matrices ⋮ Exact sampling algorithms for Latin squares and Sudoku matrices via probabilistic divide-and-conquer ⋮ Bipartite graphs related to mutually disjoint \(S\)-permutation matrices ⋮ On the number of disjoint pairs of S-permutation matrices ⋮ Construction of Sudoku designs and Sudoku-based uniform designs ⋮ On the probability of two randomly generated \(S\)-permutation matrices to be disjoint ⋮ Calculation of the number of all pairs of disjoint S-permutation matrices ⋮ Random Latin squares and Sudoku designs generation

Uses Software

• CoCoA
• Mathematica
• 4ti2

Cites Work

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• 2-level fractional factorial designs which are the union of non trivial regular designs
• Permutation matrices related to Sudoku
• Classification of two-level factorial fractions
• Algebraic Generation of Orthogonal Fractional Factorial Designs
• Sudoku, Gerechte Designs, Resolutions, Affine Space, Spreads, Reguli, and Hamming Codes

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