Calculus of Variations and Geometric Measure Theory

D. Cherkashin - F. Petrov

Branching points in the planar Gilbert--Steiner problem have degree 3

created by cherkashin on 15 Sep 2023
modified on 12 Feb 2024



Inserted: 15 sep 2023
Last Updated: 12 feb 2024

Year: 2023

ArXiv: 2309.04202 PDF


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 Gilbert--Steiner problem has degree 3.

Keywords: Branched transport, Gilbert--Steiner problem