A comparison theorem for Steiner minimum trees in surfaces with curvature bounded below

DOI10.2748/TMJ/1365452629zbMath1278.53076OpenAlexW2021853187MaRDI QIDQ1949984

Shintaro Naya, Nobuhiro Innami

Publication date: 22 May 2013

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmj/1365452629

zbMATH Keywords

geodesicAlexandrov spaceSteiner minimum treeminimum spanning tree

Mathematics Subject Classification ID

Trees (05C05) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Related Items (3)

An analytical solution of the weighted Fermat-Torricelli problem on a unit sphere ⋮ Steiner ratio for Hadamard surfaces of curvature at most \(k < 0\) ⋮ Local structure of minimal networks in A. D. Alexandrov spaces

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