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Volume 14, Issue 1 (2022) , Pages [1] - [119]

CRITICAL SETS IN SUDOKU 

[1] C. Berge, Topological Spaces: Including a Treatment of Multi-Valued Functions, Vector Spaces and Convexity, Dover, New York, 1997.

 

[2] T. Davis, The mathematics of Sudoku, Retrieved May 20, 2015.

 

From: http://www.geometer.org/mathcircles/sudoku.pdf

 

[3] J.-P. Delahaye, The science behind Sudoku, Scientific American 294(6) (2006), 81-87.

 

DOI: https://doi.org/10.1038/scientificamerican0606-80

 

[4] D. Eppstein, Solving single-digit Sudoku subproblems, arXiv:1202.5074v1 [cs.DS] (2012).

 

[5] T. Fischer, A generalized marriage theorem, arXiv:2202.08161v1 [math.CO] (2022).

 

[6] P. Hall, On representatives of subsets, Journal of the London Mathematical Society 10(1) (1935), 26-30.

 

DOI: https://doi.org/10.1112/jlms/s1-10.37.26

 

[7] P. R. Halmos and H. E. Vaughan, The marriage problem, American Journal of Mathematics 72(1) (1950), 214-215.

 

DOI: https://doi.org/10.2307/2372148

 

[8] A. K. Maji, S. Jana, S. Roy and R. K. Pal, An exhaustive study on different Sudoku solving techniques, International Journal of Computer Science Issues 11(2) (2014), 247-253.

 

[9] A. Schrijver, Combinatorial Optimization: Polyhedra and Efficiency, Springer, Berlin, 2003.