Peter Frankl

activity

20242026

most citedOn the product of cross-intersecting families with maximal covering number

2 citations · 2 across the 7 of their papers we have counts for

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math.CO2024

Intersection problems and a correlation inequality for integer sequences

Peter Frankl, Andrey Kupavskii

Let us consider a collection $G$ of codewords of length $n$ over an alphabet of size $s$ . Let $t_{1}, \dots, t_{s}$ be nonnegative integers. What is the maximum of $|\mathcal…

math.CO2024

Non-trivial $r$ -wise agreeing families

Peter Frankl, Andrey Kupavskii

A family of subsets of $[n]$ is $r$ -wise agreeing if for any $r$ sets from the family there is an element $x$ that is either contained in all or contained in none of the $r$ sets.…

Intersection problems and a correlation inequality for integer sequences

Non-trivial r-wise agreeing families

Non-trivial $r$ -wise agreeing families