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