On finite set-systems whose every intersection is a kernel of a star (Q787982)
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scientific article; zbMATH DE number 3841865
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On finite set-systems whose every intersection is a kernel of a star |
scientific article; zbMATH DE number 3841865 |
Statements
On finite set-systems whose every intersection is a kernel of a star (English)
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1983
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Let a collection of k element sets have property t if every set that is a pairwise intersection of two of the sets is the common pairwise intersection of t of the sets. The outline of a proof is given here that any collection J of k element sets has a subcollection with property t whose size is at least c(k,t) times that of J, for a given small value of c(k,t). Some consequences are also given.
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set-system
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pairwise intersection
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