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A Sudoku puzzle can be expressed as a graph coloring problem. [31] The aim is to construct a 9-coloring of a particular graph, given a partial 9-coloring. The fewest clues possible for a proper Sudoku is 17. [32] Tens of thousands of distinct Sudoku puzzles have only 17 clues. [33]
The general problem of solving Sudoku puzzles on n 2 ×n 2 grids of n×n blocks is known to be NP-complete. [8] A puzzle can be expressed as a graph coloring problem. [9] The aim is to construct a 9-coloring of a particular graph, given a partial 9-coloring. The Sudoku graph has 81 vertices, one vertex for each cell.
A typical Sudoku puzzle. A standard Sudoku contains 81 cells, in a 9×9 grid, and has 9 boxes, each box being the intersection of the first, middle, or last 3 rows, and the first, middle, or last 3 columns. Each cell may contain a number from one to nine, and each number can only occur once in each row, column, and box.
Try Sudoku. The logic puzzle has simple rules, and is easy to learn. Skip to main content. 24/7 Help. For premium support please call: 800-290-4726 more ways to reach us. Sign in ...
Sudoku. Completely fill the 9x9 grid, using the values 1 through 9 only once in each 3x3 section of the puzzle. By Masque Publishing
Taking Sudoku Seriously: The Math Behind the World's Most Popular Pencil Puzzle is a book on the mathematics of Sudoku.It was written by Jason Rosenhouse and Laura Taalman, and published in 2011 by the Oxford University Press.
Blocked 10. Choose puzzle pieces and place them into the block grid. As you complete a row or column, that line of blocks disappears and awards points.
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. The usual form of a Sudoku puzzle, in which some cells are filled in with symbols and the rest must be filled in by the person solving the puzzle, corresponds to the precoloring ...
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