Minimum Steiner trees in normed planes
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Publication:1802220
DOI10.1007/BF02189328zbMath0774.05028MaRDI QIDQ1802220
Ronald L. Graham, Peng-Jun Wan, Biao Gao, Zi-Cheng Liu, Ding-Zhu Du
Publication date: 16 June 1993
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/131252
Trees (05C05) Convex sets in (2) dimensions (including convex curves) (52A10) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)
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Cites Work
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- The structure of singularities in \(\Phi\)-minimizing networks in \({\mathbb{R}}^ 2\)
- The Fermat problem in Minkowski spaces
- A proof of the Gilbert-Pollak conjecture on the Steiner ratio
- On Steiner minimal trees with \(L_ p\) distance
- Paired calibrations applied to soap films, immiscible fluids, and surfaces or networks minimizing other norms
- Reducing the Steiner Problem in a Normed Space
- Locating the vertices of a steiner tree in an arbitrary metric space
- On Steiner Minimal Trees with Rectilinear Distance
- The Rectilinear Steiner Tree Problem is $NP$-Complete
- The Complexity of Computing Steiner Minimal Trees
- Steiner Minimal Trees
- On the Steiner Problem