Contents

Home

1. Introduction to Sudoku

2. Solving Strategy

3. Counting Solutions

4. Solution Symmetries

5. The 4×4 Case

6. Some More Interesting Facts

7. References

The Math Behind Sudoku

References

"Burnside's Lemma." Wikipedia: The Free Encyclopedia. 16 Sep 2009. <http://en.wikipedia.org/wiki/Burnside%27s_lemma>

Crook, J. F. "A Pencil-and-Paper Algorithm for Solving Sudoku Puzzles." Notices of the AMS 56 (2009): 460-468.

Daily Sudoku Puzzle. 15 Sep 2009. 17 Sep 2009. <http://www.daily-sudoku-puzzle.com/>

Daily Sudoku Puzzle. 16 Sep 2009. 17 Sep 2009. <http://www.daily-sudoku-puzzle.com>

Felgenhauer, Bertram, and Frazer Jarvis. "Enumerating possible Sudoku grids." (2005): 1-7. 15 Aug 2009. <http://www.afjarvis.staff.shef.ac.uk/>

Felgenhauer, Bertram, and Frazer Jarvis. "Mathematics of Sudoku I." (2006): 1-7. 17 Aug 2009. <http://www.afjarvis.staff.shef.ac.uk/>

"Group (mathematics)." Wikipedia: The Free Encyclopedia. 16 Sep 2009. <http://en.wikipedia.org/wiki/Group_(mathematics)>

Hayes, Brian. "Unwed Numbers." American Scientist 94 (2006): 12. 18 Aug 2009. <http://www.americanscientist.org/>

Herzberg, Agnes M and M. Ram Murty. "Sudoku Squares and Chromatic Polynomials." Notices of the AMS 54 (2007): 708-717.

Incognito, Andrew, Laura Hodge, and Collin Witt. "Exploring Sudoku." J. Recreational Mathematics 34 (2005-2006): 167-172. ProQuest. Cornell University Library, Ithaca, NY. 18 Aug 2009. <http://www.proquest.com/en-US/>

"Mathematics of Sudoku." Wikipedia: The Free Encyclopedia. 15 Aug 2009. <http://en.wikipedia.org/wiki/Mathematics_of_sudoku>

"NP-complete." Wikipedia: The Free Encyclopedia. 17 Sep 2009. <http://en.wikipedia.org/wiki/Np_complete>

Peterson, Ivars. "Sudoku Math." Ivars Peterson's MathTrek. 20 June 2005. 18 Aug 2009. <http://www.maa.org/mathland/>

Russell, Ed, and Frazer Jarvis. "Mathematics of Sudoku II." (2006): 1-4. 17 Aug 2009. <http://www.afjarvis.staff.shef.ac.uk/>

"Sudoku." Wikipedia: The Free Encyclpedia. 15 Aug 2009. <http://en.wikipedia.org/wiki/Sudoku>