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Theorems of Erdős-Ko-Rado type in geometrical settings

✍ Scribed by Maarten De Boeck, Leo Storme

Book ID
120796606
Publisher
SP Science China Press
Year
2013
Tongue
English
Weight
293 KB
Volume
56
Category
Article
ISSN
1674-7283

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## Abstract Let ${\cal F}$ be a __k__‐uniform hypergraph on __n__ vertices. Suppose that $|F\_{1}\cap \cdots \cap F\_{r}|\ge t$ holds for all $F\_{1},\ldots ,F\_{r}\in {\cal F}$. We prove that the size of ${\cal F}$ is at most ${{n-t}\choose {k-t}}$ if $p= {k \over n}$ satisfies and __n__ is suffi