D. Zakharov

activity

20162026

most citedEssentially tight bounds for rainbow cycles in proper edge-colourings

3 citations · 15 across the 35 of their papers we have counts for

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math.MG2023

Spherical sets avoiding orthonormal bases

Dmitrii Zakharov

We show that there exists an absolute constant $c_{0} < 1$ such that for all $n \geq 2$ , any measurable set $A \subset S^{n - 1}$ of density at least $c_{0}$ contains $n$ pairwise orthogona…

math.MG2017

Acute sets

D. Zakharov

A set of points in $R^{d}$ is acute, if any three points from this set form an acute triangle. In this note we construct an acute set in $R^{d}$ of size at least $1.6…