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Ian T. Roberts     Sue D'Arcy     Hans-Dietrich Gronau

Completely Separating Systems of k-sets for (k-2/2)=<n<(k/2) or 11=<k=<12

University of Rostock, Institute of Mathematics, 2011

https://doi.org/10.18453/rosdok_id00005824

Abstract: R(n, k) denotes the minimum possible size of a completely separating system C on [n] with |A| = k for each A ϵ C. Values of R(n, k) are determined for (k-1/2)=<n<(k/2) or 11=<n=<12. Using the dual interpretation of completely separating systems as antichains, this paper provides corresponding results for dual k-regular antichains.

working paper   free access