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Open Computer Science

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Minimal number of clues for Sudokus

Christoph Lass
  • Institut für Mathematik und Informatik, Ernst-Moritz-Arndt-Universität, Walther-Rathenau-Straße 47, 17487, Greifswald, Germany
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Published Online: 2012-06-28 | DOI: https://doi.org/10.2478/s13537-012-0011-y


In this article we will present a universal scheme for calculating the minimal number of clues needed for a generalized Sudoku to be uniquely solvable. By using equivalence partitioning and analyzing uniqueness properties of patterns, we will reduce the search space to a feasible size. As a result, we will present the minimal number for 2 × 4 Sudokus.

Keywords: Sudokus; Combinatorial optimization; Equivalence partitioning

  • [1] Barker M., http://forum:enjoysudoku:com/canonical-form-t5215:html, 2007 Google Scholar

  • [2] Deverin M., http://www:setbb:com/sudoku/viewtopic:php?p=7528&mforum=sudoku#7528, 2007 Google Scholar

  • [3] Felgenhauer B., Jarvis A.F.: Mathematics of Sudoku I, Mathematical Spectrum 39, 15–22, 2006 Google Scholar

  • [4] Gupta S., Russell E., http://forum:enjoysudoku:com/sudoclues-max-min-forest-leaves-t3351:html, 2006 Google Scholar

  • [5] Jarvis A.F., Russell E., Mathematics of Sudoku II, Mathematical Spectrum 39, 54–58, 2006 Google Scholar

  • [6] Lin H., Wu I., Solving the Minimum Sudoku Problem, International Conference on Technologies and Applications of Artificial Intelligence, 456–461, 2010 Google Scholar

  • [7] Linhart J., http://www:setbb:com/phpbb/viewtopic:php?p=11913&sid=19a58b319044bc49573398e0ebe7a3f4&mforum=sudoku#11913, 2010 Google Scholar

  • [8] McGuire G., Tugemann B., Civario G., There is no 16-Clue Sudoku: Solving the Sudoku Minimum Number of Clues Problem, eprint arXiv:1201.0749, 2012 Google Scholar

  • [9] Royle G., http://mapleta:maths:uwa:edu:au/?gordon/sudokumin:php, 2010 Google Scholar

  • [10] van der Werf R., http://www:sudocue:net/minx:php, 2007 Google Scholar

About the article

Published Online: 2012-06-28

Published in Print: 2012-06-01

Citation Information: Open Computer Science, Volume 2, Issue 2, Pages 143–151, ISSN (Online) 2299-1093, DOI: https://doi.org/10.2478/s13537-012-0011-y.

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© 2012 Versita Warsaw. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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Gary McGuire, Bastian Tugemann, and Gilles Civario
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