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A generalization of Erdős--Ko--Rado theorem to $t$-designs in certain semilattices (1201.5037v1)
Published 24 Jan 2012 in math.CO
Abstract: The Erd\H{o}s--Ko--Rado theorem is extended to designs in semilattices with certain conditions. As an application, we show the intersection theorems for the Hamming schemes, the Johnson schemes, bilinear forms schemes, Grassmann schemes, signed sets, partial permutations and restricted signed sets.
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