A generalization of the ray-chaudhuri-wilson theorem |
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Authors: | Hunter S. Snevily |
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Abstract: | Let K = {k1,…,kr} and L = {l1,…,ls} be two sets of non-negative integers and assume ki > lj for every i,j. Let F be an L-intersecting family of subsets of a set of n elements. Assume the size of every set in F is a number from K. We conjecture that |F| ? (ns). We prove that our conjecturer is true for any K. (with min ki ? s) when L = {0,1,…,s ? 1}. We also show that for any K and any L, (with min ki > max lj) CALLING STATEMENT : © 1995 John Wiley & Sons, Inc. |
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