A formula for the weight of a minimal filling of a finite metric space
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Publication:5396964
DOI10.1070/SM2013v204n09ABEH004340zbMath1282.05075OpenAlexW2022833888MaRDI QIDQ5396964
Publication date: 4 February 2014
Published in: Sbornik: Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/sm2013v204n09abeh004340
Trees (05C05) Extremal problems in graph theory (05C35) General theory of distance geometry (51K05) Signed and weighted graphs (05C22)
Related Items (12)
The functions that do not change types of minimal fillings ⋮ Dual Linear Programming Problem and One-Dimensional Gromov Minimal Fillings of Finite Metric Spaces ⋮ Analytic deformations of minimal networks ⋮ The length of minimal filling for a five-point metric space ⋮ Minimal Networks: A Review ⋮ Banach spaces with shortest network length depending only on pairwise distances between points ⋮ Directional derivative of the weight of a minimal filling in Riemannian manifolds ⋮ An open family of sets that have several minimal fillings ⋮ The Steiner subratio of five points on a plane and four points in three-dimensional space ⋮ Probabilistic properties of topologies of minimal fillings of finite metric spaces ⋮ Bifurcations of minimal fillings for four points on the Euclidean plane ⋮ Estimates of Steiner subratio and Steiner-Gromov ratio
Cites Work
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- Filling Riemannian manifolds
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- A.D. Alexandrov spaces with curvature bounded below
- THE MULTIDIMENSIONAL PLATEAU PROBLEM IN RIEMANNIAN MANIFOLDS
- MINIMAL COMPACTA IN RIEMANNIAN MANIFOLDS AND REIFENBERG'S CONJECTURE
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