University Studies 3-Fall 2013-Suggested Projects from Third meeting (October 17)
The following five research papers are references from chapter 3
[27] Graeco-Latin Squares and a Mistaken Conjecture of Euler, by Dominic Klyve and Lee Stemkoski 2006, 14pp
(pdffile)
[40] A Short Proof of the Nonexistence of a Pair of Orthogonal Latin Squares of Order Six, by Douglas Stinson 1984, 4pp
(pdffile)
[20] A Coding-Theoretic Solution to the 36 Officer Problem, by Steven Dougherty 1994, 6pp
(pdffile)
[28] Euler Squares, by H. F. MacNeish 1922, 7pp
(pdffile)
[14] Further Results on the Construction of Mutually Orthogonal Latin Squares and the Falsity of Euler's Conjecture, by R. C. Bose, S. S. Shrikande, and E. T. Parker
1960, 15pp
(pdffile)
The following two research papers are more recent
Sudoku: Strategy versus Structure, by J. Scott Provan 2009 6pp
(pdffile)
Sets of Mutually Orthogonal Sudoku Latin Squares, by
Ryan M. Pedersen and Timothy L. Vis 2009 7pp
(pdffile)
Link to "The Euler Archive:
The Euler Archive
(click here)
The following two books are references from Chapter 1 (Library copies are available from me)
[34] The Monty Hall Problem, by Jason Rosenhouse 2009
[16] The Puzzle Instinct, by Marcel Danesi 2002
Another book with a chapter on Latin Squares (Library copy is available from me)
Discrete Mathematics Using Latin Squares, by Charles F. Laywine and Gary L. Mullin 1998
The following book is a reference from Chapter 3 (Library copy is available from me)
[39] Combinatorial Designs, by Douglas Stinson 2004
The following book is about the related topic of Magic Squares (Personal copy is available from me)
Before Sudoku. The World of Magic Squares, by Seymour S. Block and Santiago A. Tavares 2009