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math.MG2023
Branching points in the planar Gilbert--Steiner problem have degree 3
Danila Cherkashin, Fedor Petrov
Gilbert--Steiner problem is a generalization of the Steiner tree problem on a specific optimal mass transportation. We show that every branching point in a solution of the planar G…
math.MG2023
A self-similar infinite binary tree is a solution of Steiner problem
D. Cherkashin, Y. Teplitskaya
We consider a general metric Steiner problem which is of finding a set with minimal length such that is connected, where is a given compact s…