written by
Andrew Bartrlett,
Dr. 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 program 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. Bartrlett, T. Chartier, A. Langville, and T. Rankin, Integer Programming Model for the Sudoku Problem (2008), WWW Document, (http://www.maa.org/joma/Volume8/Bartlett/index.html).
Bartrlett, A., Chartier, T., Langville, A., & Rankin, T. (2008). Integer Programming Model for the Sudoku Problem. Retrieved November 21, 2009, from http://www.maa.org/joma/Volume8/Bartlett/index.html
Bartrlett, A, T. Chartier, A. Langville, and T. Rankin. Integer Programming Model for the Sudoku Problem. 2008. http://www.maa.org/joma/Volume8/Bartlett/index.html (accessed 21 November 2009).
Bartrlett, Andrew, Tim Chartier, Amy Langville, and Timothy Rankin. Integer Programming Model for the Sudoku Problem. 2008. 21 Nov. 2009 <http://www.maa.org/joma/Volume8/Bartlett/index.html>.
@misc{
Author = "Andrew Bartrlett and Tim Chartier and Amy Langville and Timothy Rankin",
Title = {Integer Programming Model for the Sudoku Problem},
Volume = {2009},
Number = {21 November 2009},
Year = {2008}
}
%A Andrew Bartrlett %A Tim Chartier %A Amy Langville %A Timothy Rankin %T Integer Programming Model for the Sudoku Problem %D 2008 %U http://www.maa.org/joma/Volume8/Bartlett/index.html %O application/java
%0 Electronic Source %A Bartrlett, Andrew %A Chartier, Tim %A Langville, Amy %A Rankin, Timothy %D 2008 %T Integer Programming Model for the Sudoku Problem %V 2009 %N 21 November 2009 %9 application/java %U http://www.maa.org/joma/Volume8/Bartlett/index.html
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