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The Number of Latin Rectangles [PDF]

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Visit this site: http://math.dartmouth.edu/~doyle/docs/latin/latin.pdf

Author:Peter Doyle
Description: A paper that shows how to generate an expression for the number of k-line Latin rectangles for any k. The computational complexity of the resulting expression, as measured by the number of additions and multiplications required to evaluate it, is on the order of n^(2^k-1). These expressions generalize Ryser's formula for derangements. PostScript and source file are available from Doyle's site.

Levels: College, Research
Languages: English
Resource Types: Articles
Math Topics: Discrete Math, Combinatorics

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