On an algorithm for receiving Sudoku matrices

Author:

Yordzhev Krasimir1

Affiliation:

1. Faculty of Mathematics and Natural Sciences, South-West University, Ivan Mihaylov 66, Blagoevgrad, 2700, Bulgaria

Abstract

This work examines the problem to describe an efficient algorithm for obtaining [Formula: see text] Sudoku matrices. For this purpose, we define the concepts of [Formula: see text] [Formula: see text]-matrix and disjoint [Formula: see text]-matrices. The paper, using the set-theoretical approach, describes an algorithm for obtaining [Formula: see text]-tuples of [Formula: see text] mutually disjoint [Formula: see text] matrices. We show that in input [Formula: see text] mutually disjoint [Formula: see text] matrices, it is not difficult to receive a Sudoku matrix.

Publisher

World Scientific Pub Co Pte Lt

Subject

Discrete Mathematics and Combinatorics

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