Latin squares with no small odd plexes |
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Authors: | Judith Egan Ian M Wanless |
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Institution: | School of Mathematical Sciences, Monash University, Victoria 3800, Australia |
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Abstract: | A k‐plex in a Latin square of order n is a selection of kn entries in which each row, column, and symbol is represented precisely k times. A transversal of a Latin square corresponds to the case k = 1. We show that for all even n > 2 there exists a Latin square of order n which has no k‐plex for any odd but does have a k‐plex for every other . © 2008 Wiley Periodicals, Inc. J Combin Designs 16: 477–492, 2008 |
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Keywords: | Latin square transversal plex orthogonal partition |
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