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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 ...
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.
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.
The world's first live TV Sudoku show, held on July 1, 2005, Sky One. The world's first live TV Sudoku show, Sudoku Live, was a puzzle contest first broadcast on July 1, 2005, on the British pay-television channel Sky One. It was presented by Carol Vorderman. Nine teams of nine players (with one celebrity in each team) representing geographical ...
The following 119 pages are in this category, out of 119 total. ... Circular coloring; Clebsch graph; Complete graph; ... Sudoku graph; Supersingular isogeny graph ...
Star coloring; Steiner tree problem; String graph; String-to-string correction problem; Strong connectivity augmentation; Structural alignment; Subcoloring; Subgraph isomorphism problem; Substructure search; Sudoku; Sum coloring
The following other wikis use this file: Usage on en.wikibooks.org Wikijunior:Maze and Drawing Book; Wikijunior:Maze and Drawing Book/Print version
It has many 9-vertex cliques and requires 9 colors in any graph coloring; a 9-coloring of this graph describes a solved Sudoku puzzle. [7] [8] In contrast, for the Brouwer–Haemers graph, the largest cliques are the triangles and the number of colors needed is 7. [5]