Y. Teplitskaya

activity

20202025

collaborators

3 papers

math.MG2025

Open problems on Steiner trees and maximal distance minimizers

Yana Teplitskaya

In this work, I collect and discuss a series of open questions in one-dimensional geometric optimization in Euclidean spaces. The focus is on two classes of problems: maximal dista…

math.MG2021

Maximal distance minimizers for a rectangle

D. D. Cherkashin, A. S. Gordeev, G. A. Strukov +1

\emph{A maximal distance minimizer} for a given compact set $M \subset R^{2}$ and some given $r > 0$ is a set having the minimal length (one-dimensional Hausdorff measure) o…

math.CO2020

On minimizers of the maximal distance functional for a planar convex closed smooth curve

D. D. Cherkashin, A. S. Gordeev, G. A. Strukov +1

Fix a compact $M \subset R^{2}$ and $r > 0$ . A minimizer of the maximal distance functional is a connected set $Σ$ of the minimal length, such that \[ max_{y \in M} dist(y,Σ)…