Two distinct vertices are adjacent if and only if they belong to the same row, column, or n-by-n box. The n-Sudoku graph is a graph with n^4 vertices, corresponding to the cells of an n^2 by n^2 grid. def sudoku_graph ( n = 3 ): """Returns the n-Sudoku graph. """ import networkx as nx from networkx.exception import NetworkXError _all_ =
COLOR SUDOKU SOLVER FREE
"Glossary of Sudoku." Wikipedia, The Free Encyclopedia, 3 Dec. Sander, Torsten (2009), "Sudoku graphs are integral", Electronic Journal of Combinatorics, 16 (1): Note 25, 7pp, MR 2529816. Sudoku squares and chromatic polynomials. Two distinct vertices are adjacent if and only if they belong to the same row, column, or n by n box.
More generally, the n-Sudoku graph is a graph with n^4 vertices, corresponding to the cells of an n^2 by n^2 grid.
A completed Sudoku grid corresponds to a vertex coloring of the Sudoku graph with nine colors. Two distinct vertices are adjacent if and only if the corresponding cells belong to the same row, column, or box. A completed Sudoku grid is a 9x9 array of integers between 1 and 9, with no number appearing twice in the same row, column, or 3x3 box. It can be used to develop algorithms for solving or generating Sudoku puzzles.
COLOR SUDOKU SOLVER GENERATOR
Use your usual Sudoku strategies together with the ones you developed for the Jigsaw variation."""Generator for Sudoku graphs This module gives a generator for n-Sudoku graphs. Tip: The are nine extra Sudoku regions in this example, which gives you a lot of information to work with even if not many initial clues are given.
COLOR SUDOKU SOLVER PLUS
This example of Jigsaw Plus has difficulty level 2 out of 3. This is an original Brainfreeze variation. The numbers 1-9 must each appear exactly once in each row, column, block, and jigsaw region. In this variation we keep the usual Sudoku blocks and add jigsaw regions. In the Jigsaw variation above, we took away the usual Sudoku blocks and replaced them with jigsaw regions. We can tell immediately that the two green cells in the hook contain the same numbers as the two purple cells at the end of the last row of the puzzle. In this particular example, the lower left green snake is such a region. Tip: Look for long snake regions that hook around at the end.
This example of Snakes has difficulty level 1 out of 3. The numbers 1-9 must each appear exactly once in each row, column, and snake. This is a simple modification of the Jigsaw variation above, where the jigsaw regions are long and skinny like snakes. To "scan" under these new rules, try choosing one jigsaw region at a time and finding numbers to place in that jigsaw given the row and column restrictions. This means that the usual Sudoku strategies won't apply here, at least without some modification. Tip: This variation doesn't just add conditions to the usual Sudoku rules, it actually changes the rules by changing the shapes of the block regions. This example of Jigsaw has difficulty level 2 out of 3. This sort of "easter egg" is common in puzzles that are made by hand, and rarely seen in mass-computer-generated puzzles. In this particular example, notice how some patterns of clues mimic a pattern in the jigsaw design. The numbers 1-9 must each appear in every row, column, and jigsaw region. This variation is commonly called "Jigsaw Sudoku", because the usual Sudoku blocks have been replaced with regions that resemble pieces of a jigsaw puzzle.
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