The weighted complete intersection theorem

Yuval Filmus
JCTA, Volume 151, 2017, pp. 84–101

We provide a complete proof of the Ahlswede–Khachatrian theorem in the $\mu_p$ setting: for all values of $n,t,p$, we determine the maximum $\mu_p$-measure of a $t$-intersecting family on $n$ points, and describe all optimal families (except for a few exceptional parameter settings). Our proof is based on several different articles of Ahlswede and Khachatrian.

The full version below includes more details, as well as some follow-up work.


 author = {Yuval Filmus},
 title = {The weighted complete intersection theorem},
 journal = {Journal of Combinatorial Theory, Series A},
 volume = {151},
 pages = {84--101},
 year = {2017}
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