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3
votes
Accepted
Minimal family of k-sets containing all t-sets
I think it is an optimal version of a covering with index $1$.
A $t$-$(n,k,\lambda)$ covering is an ordered pair $(U,\mathcal{B})$ of a finite set $U$ of cardinality $n$ and a finite set $\mathcal{B} …
2
votes
Upper bound for the size of a $k$-uniform $s$-wise $t$-intersecting set system
This is not as general as what is asked, but in N. Tokushige, The random walk method for intersecting families, in Horizons of Combinatorics, Bolyai Society Mathematical Studies, 17 (2008) 215-224, it …