A generalization of Erd\H{o}s--Ko--Rado theorem to $t$-designs in certain semilattices
Sho Suda · arXiv (Cornell University) · 2012
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.