Reconstruction of norm by geometry of minimal networks

DOI10.3103/S0027132216020091zbMath1355.46019MaRDI QIDQ2628771

I. L. Laut

Publication date: 15 July 2016

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

zbMATH Keywords

Steiner minimal treetwo-dimensional space

Mathematics Subject Classification ID

Trees (05C05) Geometry and structure of normed linear spaces (46B20) Distance in graphs (05C12) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Cites Work

• The local Steiner problem in finite-dimensional normed spaces
• The type of minimal branching geodesics defines the norm in a normed space
• Location of the Fermat-Torricelli medians of three points
• Branching extremals of the functional of $ \lambda$-normed length
• Branching geodesics in normed spaces

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