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Block design
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In mathematics, a block design in combinatorics is a particular kind of set system, which has some long-standing applications to experimental design, as well as some pure combinatorial aspects. Given a finite set X and integer k > 1, we consider a block design B to be a set of k-element subsets of X, such that the number m of sets in B containing x in X is independent of x, and the number n of sets in B containing given distinct x and y in X is also independent of the choices. Here k, m and n are the parameters of B.
Examples include the lines in finite projective planes, and Steiner triple systems.
Last updated: 10-10-2005 06:09:54
10-26-2009 08:16:03
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The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details