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Sudokus and Gröbner Bases: not only a Divertimento


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Título alternativo: Sudoku and Gröbner Bases
Author: Gago Vargas, Manuel Jesús
Hartillo Hermoso, Isabel
Martín Morales, Jorge
Ucha Enríquez, José María
Department: Universidad de Sevilla. Departamento de Álgebra
Date: 2006
Published in: Gago-Vargas, J., Hartillo, I., Martín-Morales, J., Ucha, J.M., (2006), Sudokus and Gröbner Bases: Not Only a Divertimento. Computer algebra in scientific computing (CASC 2006), Lecture Notes in Computer Science. Vol. 4194. p. 155-165.
ISBN/ISSN: 978-3-540-45182-2
Document type: Chapter of Book
Abstract: Sudoku is a logic-based placement puzzle. We recall how to translate this puzzle into a 9-colouring problem which is equivalent to a (big) algebraic system of polynomial equations. We study how far Gröbner bases techniques can be used to treat these systems produced by Sudokus. This general purpose tool can not be considered as a good solver, but we show that it can be useful to provide information on systems that are ---in spite of their origin--- hard to solve.
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