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Defining sets for magic squares

Published online by Cambridge University Press:  01 August 2016

A. D. Keedwell
A. D. Keedwell*
Affiliation:
Department of Mathematics and Statistics, University of Surrey, Guildford GU2 7XH email: [email protected]
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Extract

A topic of current interest is that of finding defining sets (preferably smallest defining sets) for various combinatorial structures such as latin squares and block designs, so it seemed interesting (though of no practical use) to try to solve the same problem for magic squares of small size. (The germ of this idea was suggested in the Gazette Note [1] of 1988 under the sub-heading ‘Squares from clues’.)

Type
Articles
Information
The Mathematical Gazette , Volume 90 , Issue 519 , November 2006 , pp. 417 - 424
Copyright
Copyright © The Mathematical Association 2006

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References

1. Cornelius, M., Magic squares, Math. Gaz. 72 (March 1988) p. 43.Google Scholar
2. Trump, W., Notes on magic squares and cubes, http://www.trump.de/magic-squares/ Google Scholar
3. Berlekamp, E.R., Conway, J.H., Guy, R.K., Winning ways for your mathematical plays (2nd edn.), Vol. 4, Chapter 24, Peters, A.K. (2004).Google Scholar
4. Keedwell, A.D., Critical sets in latin squares: an intriguing problem, Math. Gaz. 85 (July 2001) pp. 239–244.Google Scholar
5. Andrews, W.S., Magic squares and cubes, Dover Reprint, New York (1960).Google Scholar