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Improved Draws for Highland Dance
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Tim B Swartz
Published/Copyright:
January 18, 2007
In the sport of Highland Dance, Championships are often contested where the order of dance is randomized in each of the four dances. As it is a widely held belief that competing in the latter sets is advantageous, this paper develops algorithms where balance is achieved in the dance order. Specifically, draws are randomly generated where the sum of the dance orders over all four dances is constant for each dancer.
Published Online: 2007-1-18
©2011 Walter de Gruyter GmbH & Co. KG, Berlin/Boston
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Keywords for this article
highland dance;
magic rectangles;
random number generation;
restricted permutations
