Local structure of minimal networks in A. D. Alexandrov spaces

DOI10.3103/S0027132214050088zbMath1309.05047OpenAlexW2042065521MaRDI QIDQ2018052

E. A. Zavalnyuk

Publication date: 24 March 2015

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027132214050088

zbMATH Keywords

Steiner minimal treeminimal network

Mathematics Subject Classification ID

Trees (05C05) Extremal problems in graph theory (05C35) Small world graphs, complex networks (graph-theoretic aspects) (05C82)

Related Items (1)

Steiner ratio for Hadamard surfaces of curvature at most \(k < 0\)

Cites Work

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• Planar Manhattan locally minimal and critical networks
• A comparison theorem for Steiner minimum trees in surfaces with curvature bounded below
• Branching extremals of the functional of $ \lambda$-normed length
• A.D. Alexandrov spaces with curvature bounded below
• The local Steiner problem in normed planes
• Branching geodesics in normed spaces
• Steiner Minimal Trees

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