A generalization of Erdős--Ko--Rado theorem to $t$-designs in certain semilattices

Details A generalization of Erdős--Ko--Rado theorem to $t$-designs in certain semilattices A generalization of Erdős--Ko--Rado theorem to $t$-designs in certain semilattices

2012-01-24

arxiv.org/abs/1201.5037v1

Mathematics

Combinatorics

7 pages

Scientific paper

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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