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arXiv · 2610.40168

Optimal subtrees of finite metric graphs

Levi Haunschmid-Sibitz·Fredrik Viklund·David Witt Nyström
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Abstract

We consider a metric graph analog of a classical extremal problem for Riemann surfaces studied by Teichmüller, Jenkins, Strebel, and others. In particular, we prove that on any finite metric graph with a marked point, there is a unique open subtree which maximizes a metric graph analog of the reduced modulus, and we also give an equivalent characterization of this optimal subtree in terms of balanced harmonic measures.

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Levi Haunschmid-Sibitz, Fredrik Viklund, David Witt Nyström. 2026-10-29. Optimal subtrees of finite metric graphs. https://arxiv.org/abs/2610.40168

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