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arXiv · 1604.02691

On an algorithm for receiving Sudoku matrices

Krasimir Yordzhev
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Abstract

This work examines the problem to describe an efficient algorithm for obtaining $n^2 \times n^2$ Sudoku matrices. For this purpose, we define the concepts of $n\times n$ $\Pi_n$-matrix and disjoint $\Pi_n$-matrices. The article, using the set-theoretical approach, describes an algorithm for obtaining $n^2$-tuples of $n\times n$ mutually disjoint $\Pi_n$ matrices. We show that in input $n^2$ mutually disjoint $\Pi_n$ matrices, it is not difficult to receive a Sudoku matrix.

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Krasimir Yordzhev. 2016-04-10. On an algorithm for receiving Sudoku matrices. https://doi.org/10.1142/s1793830917500380

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