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Sudoku & Graph Theory

机译:数独和图论

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摘要

Sudoku is a. logic puzzle in which there are 81 cells (vertices) filled with numbers between 1 and 9. In each row, the numbers 1,2,3,..,9 must appear without repetition. Likewise, the numbers 1,2,3,..,9 must appear without repetition in the columns. In addition to the row and column constraints, the numbers 1,2,3,..,9 must appear in the nine nonoverlapping 3 x 3 subsquares without repetition. So in short, the puzzle board is separated into nine blocks, with nine cells in each block (see Figure 1).
机译:数独是。逻辑难题,其中有81个单元(顶点)填充有1到9之间的数字。在每一行中,数字1,2,3,..,9必须重复出现。同样,数字1,2,3,..,9必须在各列中不重复出现。除行和列约束外,数字1,2,3,..,9必须出现在9个非重叠的3 x 3子正方形中,不能重复。简而言之,拼图板被分为9个块,每个块有9个单元(见图1)。

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