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math.MG2022
Inverse maximal and average distance minimizer problems
Mikhail Basok, Danila Cherkashin, Yana Teplitskaya
Consider a compact and . A maximal distance minimizer problem is to find a connected compact set of the minimal length, such that \[ \max_{y \in…
math.MG2018
On uniqueness in Steiner problem
Mikhail Basok, Danila Cherkashin, Nikita Rastegaev +1
We prove that the set of -point configurations for which the solution of the planar Steiner problem is not unique has the Hausdorff dimension at most (as a subset of $\ma…