Pavel Prozorov

collaborators

2 papers

math.CO2026

On uniform eventowns

Danila Cherkashin, Pavel Prozorov

Suppose that $n = 2 m$ , $k = 2 t$ and $n > 10 k^{7}$ . We show that if a family $F$ of $k$ -subsets of an $n$ -set has only even pairwise intersections then $|\mathcal F| \leq \binom…

math.MG2026

Universal Ahlfors--David regularity of Steiner trees

Danila Cherkashin, Pavel Prozorov, Yana Teplitskaya

The celebrated Steiner tree problem is the problem of finding a set $S t$ of minimum one-dimensional Hausdorff measure $H$ (length) such that $S t \cup A$ is connected, whe…