A. Kupavskii

activity

20132026

most citedDistance graphs with large chromatic number and arbitrary girth

15 citations · 149 across the 60 of their papers we have counts for

collaborators

Showing 2014Show all

2 papers · 1 filter

math.CO2014★ 2 cited

Number of double-normal pairs in space

Andrey Kupavskii

Given a set $V$ of points in $R^{d}$ , two points $p$ , $q$ from $V$ form a double-normal pair, if the set $V$ lies between two parallel hyperplanes that pass through $p$ and $…

math.MG2014★ 3 cited

Proof of Schur's conjecture in $R^{d}$

Andrey B. Kupavskii, Alexandr Polyanskii

In this paper we prove Schur's conjecture in $R^{d}$ , which states that any diameter graph $G$ in the Euclidean space $R^{d}$ on $n$ vertices may have at most $n$ cliqu…

Number of double-normal pairs in space

Proof of Schur's conjecture in Rd

Proof of Schur's conjecture in $R^{d}$