Mappings of Latin squares

Linear Algebra and Its Applications

Volumn 261, Issue 1-3, 1997, Pages 251-268

  Pittenger, Arthur O ^a  

^a UNIVERSITY OF MARYLAND BALTIMORE COUNTY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039506056     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(96)00408-9     Document Type: Article

References (14)

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2. P. J. Chase, Moves which connect Latin squares, unpublished manuscript, 1995.
3. J. Denes and A. D. Keedwell, Latin Squares and Their Applications, Academic, New York, 1974.
4. J. Denes and A. D. Keedwell (Eds.) Latin Squares: New Developments in the Theory and Applications, Ann. Discrete Math. 46, North Holland, New York, 1991.
5. J. Denes and G. L. Mullen, Enumeration formulas for Latin and frequency squares, Discrete Math. 111:157-163 (1993).
6. W. Feller, An Introduction to Probability Theory and its Applications, Vol. I, (2nd ed.), Wiley, New York, 1957.
7. I. M. Gessel, Counting Latin squares, Bull Amer. Math. Soc. 16:79-83 (1987).
8. C. D. Godsil and B. D. McKay, Asymptotic enumeration of Latin rectangles, J. Combin. Theory Ser. B 48:19-44 (1990).
9. M. Jacobson and P. Matthews, Generating uniformly distributed random Latin squares, J. Combin. Des., to appear.
10. H. J. van Lint and R. M. Wilson, A Course in Combinatorics, Cambridge U. P., Cambridge, 1992.
11. B. D. McKay and E. Rogoyoski, Latin squares of order 10, Electronic J. Combin. 2, No. 3 (1995).
12. B. D. McKay and N. C. Wormald, Uniform generation of Latin squares, J. Combin. Math. Combin. Comput. 9:179-186 (1991).
13. A. O. Pittenger, Generation of Latin squares, unpublished manuscript, 1994.
14. J.-Y. Shao and W.-D. Wei, A formula for the number of Latin squares, Discrete Math. 110:293-296 (1992).