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TitleGrobner Basis Representations of Sudoku
Author(s) Elizabeth A. Arnold, Stephan Lucas, Laura Taalman
TypeArticle in Journal
AbstractA brief narrative description of the journal article, document, or resource. This paper uses Grobner bases to explore the inherent structure of Sudoku puzzles and boards. In particular, we develop three different ways of representing the constraints of Sudoku puzzles with a system of polynomial equations. In one case, we explicitly show how a Grobner basis can be used to obtain a more meaningful representation of the constraints. Grobner basis representations can be used to find puzzle solutions or count numbers of boards.
ISSN0746-8342
LanguageEnglish
JournalThe entity from which ERIC acquires the content, including journal, organization, and conference names, or by means of online submission from the author. College Mathematics Journal
Volume41
Number2
Pages101-112
PublisherMathematical Association of America
Address1529 Eighteenth Street NW, Washington, DC 20036
Year2010
MonthMarch
Translation No
Refereed No
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