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Embedding metric spaces in the rectilinear plane: a six-point criterion

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Publication:1907613
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DOI10.1007/BF02716581zbMath0920.51007MaRDI QIDQ1907613

Hans-Jürgen Bandelt, Victor Chepoi

Publication date: 13 February 1996

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)



Mathematics Subject Classification ID

General theory of distance geometry (51K05)


Related Items

Fixed finite subgraph theorems in infinite weakly modular graphs ⋮ The polytopal structure of the tight-span of a totally split-decomposable metric ⋮ Embedding into \(l_{\infty }^{2}\) is easy, embedding into \(l_{\infty}^{3}\) is NP-complete ⋮ Embedding metric spaces into normed spaces and estimates of metric capacity ⋮ Embedding into the rectilinear plane in optimal \(O(n^{2})\) time ⋮ On geodesic structures of weakly median graphs. II: Compactness, the role of isometric rays



Cites Work

  • Matching binary convexities
  • Superextensions and the depth of median graphs
  • A canonical decomposition theory for metrics on a finite set
  • A bounded compactness theorem for \(L^ 1\)-embeddability of metric spaces in the plane
  • Embedding Topological Median Algebras in Products of Dendrons
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