Surface optimization governs the local design of physical networks

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Authors: Xiangyi Meng, Benjamin Piazza, Csaba Both, Baruch Barzel, Albert-Ĺaszló Barabási
Cited by: 3
References: 50

Abstract

, predicting that, with increasing link thickness, a locally tree-like network undergoes a transition into configurations that can no longer be explained by length minimization. Specifically, surface minimization predicts the emergence of trifurcations and branching angles in excellent agreement with the local tree organization of physical networks across a wide range of application domains. Finally, we predict the existence of stable orthogonal sprouts, which are not only prevalent in real networks but also play a key functional role, improving synapse formation in the brain and nutrient access in plants and fungi.

Fields of Study & Subjects

Slime Mold and Myxomycetes Research Plant and Biological Electrophysiology Studies Photoreceptor and optogenetics research

Publication details

Journal / source
Nature
Publisher
Springer Science and Business Media LLC
Volume
649
Issue
8096
Pages
315–322
Publication date
7 January 2026
Language
EN