S_\infty-RANK AND LAC INVARIANT FOR THE EVALUATION OF DIFFICULTY LEVEL OF SUDOKU PUZZLES BY BOOLEAN GROEBNER BASES

The Sudoku is a very popular puzzle all over the world and it is also an interesting subject in discrete mathematics. Recently, an excellent algorithm called the Inoue algorithm has been developed for solving Sudoku puzzles based on boolean Groebner bases, and successfully applied to the mathematical evaluation of the difficulty level of Sudoku puzzles.

Authors

Publication Details

Journal
Far East Journal of Applied Mathematics
Published
2025-09-23
DOI
https://doi.org/10.17654/0972096025012
Primary Topic
Advanced Algebra and Geometry
Type
article
Field-Weighted Citation Impact
0.00
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article

S_\infty-RANK AND LAC INVARIANT FOR THE EVALUATION OF DIFFICULTY LEVEL OF SUDOKU PUZZLES BY BOOLEAN GROEBNER BASES

Miku Shindou, Tsukasa Yoshihara, Tetsuo Nakano
Far East Journal of Applied Mathematics
Advanced Algebra and Geometry
article

S_\infty-RANK AND LAC INVARIANT FOR THE EVALUATION OF DIFFICULTY LEVEL OF SUDOKU PUZZLES BY BOOLEAN GROEBNER BASES

Miku Shindou, Tsukasa Yoshihara, Tetsuo Nakano
article en

Abstract

The Sudoku is a very popular puzzle all over the world and it is also an interesting subject in discrete mathematics. Recently, an excellent algorithm called the Inoue algorithm has been developed for solving Sudoku puzzles based on boolean Groebner bases, and successfully applied to the mathematical evaluation of the difficulty level of Sudoku puzzles.

Far East Journal of Applied MathematicsVol. 118(2)
Openalex Percentile: Top 68%
Advanced Algebra and Geometry
DOISourceOpenAlex
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S_\infty-RANK AND LAC INVARIANT FOR THE EVALUATION OF DIFFICULTY LEVEL OF SUDOKU PUZZLES BY BOOLEAN GROEBNER BASES — Miku Shindou, Tsukasa Yoshihara, et al. · Far East Journal of Applied Mathematics (2025) | TGRS Research Map | TGRS