Maximal consistent families of triples

by J. H. Spencer


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The general problem of dividing a set into a maximal collection of subsets in such a way that the subsets will overlap in certain specified ways is a fundamental problemm in experimental design and in the design of systems, involving shared use of system elements. This study solves the problem for the case where the subsets are each required to have three elements, and any pair of subsets has at most one element in common.

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