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  2. Sudoku solving algorithms - Wikipedia

    en.wikipedia.org/wiki/Sudoku_solving_algorithms

    Some hobbyists have developed computer programs that will solve Sudoku puzzles using a backtracking algorithm, which is a type of brute force search. [3] Backtracking is a depth-first search (in contrast to a breadth-first search), because it will completely explore one branch to a possible solution before moving to another branch.

  3. Sudoku graph - Wikipedia

    en.wikipedia.org/wiki/Sudoku_graph

    Each row, column, or block of the Sudoku puzzle forms a clique in the Sudoku graph, whose size equals the number of symbols used to solve the puzzle. A graph coloring of the Sudoku graph using this number of colors (the minimum possible number of colors for this graph) can be interpreted as a solution to the puzzle.

  4. Mathematics of Sudoku - Wikipedia

    en.wikipedia.org/wiki/Mathematics_of_Sudoku

    The first known solution to complete enumeration was posted by QSCGZ (Guenter Stertenbrink) to the rec.puzzles newsgroup in 2003, [11] [12] obtaining 6,670,903,752,021,072,936,960 (6.67 × 10 21) distinct solutions. In a 2005 study, Felgenhauer and Jarvis [13] [12] analyzed the permutations of the top band used in valid solutions.

  5. Sudoku code - Wikipedia

    en.wikipedia.org/wiki/Sudoku_code

    Tanner graph of a Sudoku. denotes the entries of the Sudoku in row-scan order. denotes the constraint functions: =, …, associated with rows, =, …, associated with columns and =, …, associated with the sub-grids of the Sudoku.. There are several possible decoding methods for sudoku codes. Some algorithms are very specific developments for Sudoku codes. Several methods are described in ...

  6. Thomas Snyder - Wikipedia

    en.wikipedia.org/wiki/Thomas_Snyder

    Thomas Snyder (born c. 1980) [1] is an American puzzle creator and world-champion sudoku and logic puzzle solver. He is the first person to win both the World Sudoku Championship (3 times) and the World Puzzle Championship. Snyder writes a puzzle blog as Dr. Sudoku. [2]

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  8. File:Sudoku-by-L2G-20050714.svg - Wikipedia

    en.wikipedia.org/wiki/File:Sudoku-by-L2G...

    Description: Sudoku layout: Date: 12 September 2006: Source: SVG version of "Sudoku-by-L2G-20050714.gif," a Sudoku layout generated by the GNU program Su Doku Solver and contributed in the public domain by Lawrence Leonard Gilbert.

  9. Taking Sudoku Seriously - Wikipedia

    en.wikipedia.org/wiki/Taking_Sudoku_Seriously

    [1] [4] [5] The next two chapters look at two different mathematical formalizations of the problem of going from a Sudoku problem to its solution, one involving graph coloring (more precisely, precoloring extension of the Sudoku graph) and another involving using the Gröbner basis method to solve systems of polynomial equations.