written by
Andrew Bartrlett, Tim Chartier, Amy Langville, and Timothy Rankin
The "Integer Programming Model for the Sudoku Problem" article in the The Journal of Online Mathematics and Its Applications uses an EJS binary integer linear model to solve this feasibility problem. Further, such an approach is extended to variations on the traditional Sudoku puzzle. In addition, we speculate as to how Sudoku puzzles are created, and provide several theorems for generating many new puzzles from one given original puzzle. EJS models allow for exploration with a variety of the ideas. Readers with Matlab and its Optimization Toolbox can solve Sudoku puzzles directly from an applet. Exercises and challenge problems that use principles from optimization, combinatorics, linear algebra, and computer science are presented for students.
Please note that this resource requires
at least version 1.5 of Java (JRE).
<a href="https://www.compadre.org/OSP/items/detail.cfm?ID=9425">Bartrlett, A, T. Chartier, A. Langville, and T. Rankin. "Integer Programming Model for the Sudoku Problem." J. Online Math. & Its Appl. 8, no. May 2008, (May 1, 2008).</a>
A. Bartrlett, T. Chartier, A. Langville, and T. Rankin, , J. Online Math. & Its Appl. 8 (May 2008), (2008), WWW Document, (https://www.maa.org/press/periodicals/loci/joma/integer-programming-model-for-the-sudoku-problem).
A. Bartrlett, T. Chartier, A. Langville, and T. Rankin, Integer Programming Model for the Sudoku Problem, J. Online Math. & Its Appl. 8 (May 2008), (2008), <https://www.maa.org/press/periodicals/loci/joma/integer-programming-model-for-the-sudoku-problem>.
Bartrlett, A., Chartier, T., Langville, A., & Rankin, T. (2008, May 1). Integer Programming Model for the Sudoku Problem. J. Online Math. & Its Appl., 8(May 2008). Retrieved October 10, 2024, from https://www.maa.org/press/periodicals/loci/joma/integer-programming-model-for-the-sudoku-problem
Bartrlett, A, T. Chartier, A. Langville, and T. Rankin. "Integer Programming Model for the Sudoku Problem." J. Online Math. & Its Appl. 8, no. May 2008, (May 1, 2008), https://www.maa.org/press/periodicals/loci/joma/integer-programming-model-for-the-sudoku-problem (accessed 10 October 2024).
Bartrlett, Andrew, Tim Chartier, Amy Langville, and Timothy Rankin. "Integer Programming Model for the Sudoku Problem." J. Online Math. & Its Appl. 8.May 2008 (2008). 10 Oct. 2024 <https://www.maa.org/press/periodicals/loci/joma/integer-programming-model-for-the-sudoku-problem>.
@article{
Author = "Andrew Bartrlett and Tim Chartier and Amy Langville and Timothy Rankin",
Title = {Integer Programming Model for the Sudoku Problem},
Journal = {J. Online Math. & Its Appl.},
Volume = {8},
Number = {May 2008},
Month = {May},
Year = {2008}
}
%A Andrew Bartrlett %A Tim Chartier %A Amy Langville %A Timothy Rankin %T Integer Programming Model for the Sudoku Problem %J J. Online Math. & Its Appl. %V 8 %N May 2008 %D May 1, 2008 %U https://www.maa.org/press/periodicals/loci/joma/integer-programming-model-for-the-sudoku-problem %O application/java
%0 Journal Article %A Bartrlett, Andrew %A Chartier, Tim %A Langville, Amy %A Rankin, Timothy %D May 1, 2008 %T Integer Programming Model for the Sudoku Problem %J J. Online Math. & Its Appl. %V 8 %N May 2008 %8 May 1, 2008 %U https://www.maa.org/press/periodicals/loci/joma/integer-programming-model-for-the-sudoku-problem
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