Andrey Kupavskii

collaborators

4 papers

math.CO2026

Structure of $t$ -Intersecting Families of Vector Spaces

Ferdinand Ihringer, Andrey Kupavskii

We study $t$ -intersecting and $t$ -cross-intersecting families of $k$ -dimensional subspaces in finite vector spaces of dimension $n$ . We show that all large $t$ -intersecting familie…

math.CO2026

Families without $s$ -matchings: the other end

Andrey Kupavskii, Georgy Sokolov

In this paper, we determine the largest family $F \subset 2^{[n]}$ without $s$ pairwise disjoint sets, provided $n = m s + c$ for positive integers $m, c$ , and $s \geq s_0(m, c)…

math.CO2026

Frankl's diversity theorem for permutations

Eduard Inozemtsev, Andrey Kupavskii

In 1987, Frankl proved an influential stability result for the Erd\H os--Ko--Rado theorem, which bounds the size of an intersecting family in terms of its distance from the nearest…

math.CO2024

Structure of non-trivial intersecting families

Andrey Kupavskii

We say that a family of $k$ -subsets of an $n$ -element set is {\it intersecting}, if any two of its sets intersect. In this paper, we study the structure of large intersecting famil…

Structure of t-Intersecting Families of Vector Spaces

Families without s-matchings: the other end

Frankl's diversity theorem for permutations

Structure of non-trivial intersecting families

Structure of $t$ -Intersecting Families of Vector Spaces

Families without $s$ -matchings: the other end