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Clustering Large Data Set: An Applied Comparative Study Read chapter Read first chapter

2012 | OriginalPaper | Chapter

Markov Bases for Sudoku Grids

Authors : Roberto Fontana, Fabio Rapallo, Maria Piera Rogantin

Published in: Advanced Statistical Methods for the Analysis of Large Data-Sets

Publisher: Springer Berlin Heidelberg

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Abstract

In this paper we show how to describe sudoku games under the language of design of experiments, and to translate sudoku grids into contingency tables. Then, we present the application of some techniques from Algebraic Statistics to describe the structure of the sudoku grids, at least for the 4 ×4 grids. We also show that this approach has interesting applications to both complete grids and partially filled grids.

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Literature
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Fontana, R., Rogantin, M.P.: Indicator function and sudoku designs. In: P. Gibilisco, E. Riccomagno, M.P. Rogantin, H.P. Wynn (eds.) Algebraic and Geometric Methods in Statistics, pp. 203–224. Cambridge University Press (2010)
Rapallo, F., Rogantin, M.P.: Markov chains on the reference set of contingency tables with upper bounds. Metron 65(1), 35–51 (2007)MATH
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Metadata
Title
Markov Bases for Sudoku Grids
Authors
Roberto Fontana
Fabio Rapallo
Maria Piera Rogantin
Copyright Year
2012
Publisher
Springer Berlin Heidelberg
Book
Advanced Statistical Methods for the Analysis of Large Data-Sets

Print ISBN: 978-3-642-21036-5

Electronic ISBN: 978-3-642-21037-2

Copyright Year: 2012

DOI
https://doi.org/10.1007/978-3-642-21037-2_28

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