Makov Bases for Sudoku Grids

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 x 4 grids. We also show that this approach has interesting applications to both complete grids and partially filled grids.