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 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).
The Journal of Online Mathematics and Its Applications: Volume 8, Issue May 2008
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Record Link
<a href="http://www.compadre.org/portal/items/detail.cfm?ID=9425">Bartrlett, A, T. Chartier, A. Langville, and T. Rankin. "An Integer Programming Model for the Sudoku Problem." J. Online Math. & Its Appl. 8, no. May 2008, (May 1, 2008).</a>
AIP Format
A. Bartrlett, T. Chartier, A. Langville, and T. Rankin, J. Online Math. & Its Appl. 8 (May 2008), (2008), WWW Document, (http://www.maa.org/publications/periodicals/loci/joma/integer-programming-model-for-the-sudoku-problem).
AJP/PRST-PER
A. Bartrlett, T. Chartier, A. Langville, and T. Rankin, An Integer Programming Model for the Sudoku Problem, J. Online Math. & Its Appl. 8 (May 2008), (2008), <http://www.maa.org/publications/periodicals/loci/joma/integer-programming-model-for-the-sudoku-problem>.
APA Format
Bartrlett, A., Chartier, T., Langville, A., & Rankin, T. (2008, May 1). An Integer Programming Model for the Sudoku Problem. J. Online Math. & Its Appl., 8(May 2008). Retrieved October 8, 2015, from http://www.maa.org/publications/periodicals/loci/joma/integer-programming-model-for-the-sudoku-problem
Chicago Format
Bartrlett, A, T. Chartier, A. Langville, and T. Rankin. "An Integer Programming Model for the Sudoku Problem." J. Online Math. & Its Appl. 8, no. May 2008, (May 1, 2008), http://www.maa.org/publications/periodicals/loci/joma/integer-programming-model-for-the-sudoku-problem (accessed 8 October 2015).
MLA Format
Bartrlett, Andrew, Tim Chartier, Amy Langville, and Timothy Rankin. "An Integer Programming Model for the Sudoku Problem." J. Online Math. & Its Appl. 8.May 2008 (2008). 8 Oct. 2015 <http://www.maa.org/publications/periodicals/loci/joma/integer-programming-model-for-the-sudoku-problem>.
BibTeX Export Format
@article{
Author = "Andrew Bartrlett and Tim Chartier and Amy Langville and Timothy Rankin",
Title = {An Integer Programming Model for the Sudoku Problem},
Journal = {J. Online Math. & Its Appl.},
Volume = {8},
Number = {May 2008},
Month = {May},
Year = {2008}
}
Refer Export Format
%A Andrew Bartrlett
EndNote Export Format
%0 Journal Article Disclaimer: ComPADRE offers citation styles as a guide only. We cannot offer interpretations about citations as this is an automated procedure. Please refer to the style manuals in the Citation Source Information area for clarifications.
Citation Source Information
The AIP Style presented is based on information from the AIP Style Manual. The APA Style presented is based on information from APA Style.org: Electronic References. The Chicago Style presented is based on information from Examples of Chicago-Style Documentation. The MLA Style presented is based on information from the MLA FAQ. |