Differential calculus on the space of Steiner minimal trees in Riemannian manifolds

DOI10.1070/SM2001V192N06ABEH000571zbMath1032.05034OpenAlexW2051545458WikidataQ115317483 ScholiaQ115317483MaRDI QIDQ2784544

A. A. Tuzhilin, Alexandr O. Ivanov

Publication date: 2 June 2002

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2001v192n06abeh000571

zbMATH Keywords

minimal spanning treeSteiner ratio

Mathematics Subject Classification ID

Trees (05C05) Extremal problems in graph theory (05C35) Planar graphs; geometric and topological aspects of graph theory (05C10) Relations of low-dimensional topology with graph theory (57M15) Local differential geometry (53B99) Inequalities and extremum problems in real or complex geometry (51M16)

Related Items (4)

Analytic deformations of minimal networks ⋮ Directional derivative of the weight of a minimal filling in Riemannian manifolds ⋮ Steiner ratio for Hadamard surfaces of curvature at most \(k < 0\) ⋮ Bifurcations of binary types of Steiner minimal networks in the plane

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