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Metric extensions and the \(L^ 1\) hierarchy

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Publication:1332439
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DOI10.1016/0012-365X(94)90369-7zbMath0814.54022MaRDI QIDQ1332439

Hiroshi Maehara, David Avis

Publication date: 20 June 1995

Published in: Discrete Mathematics (Search for Journal in Brave)


zbMATH Keywords

bipartite graphsdistance matrixhypermetricHamming cone2-extensionHamming semimetricssemimetric of negative type


Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Semimetric spaces (54E25)


Related Items (1)

On the \(P_3\)-hull number of Hamming graphs



Cites Work

  • Collapse of the metric hierarchy for bipartite graphs
  • Regular embeddings of a graph
  • All the facets of the six-point Hamming cone
  • A bound on the \(k\)-gonality of facets of the hypermetric cone and related complexity problems
  • Remarks to Maurice Frechet's article ``Sur la definition axiomatique d'une classe d'espaces vectoriels distancies applicables vectoriellement sur l'espace de Hilbert
  • On Isometric Embeddings of Graphs
  • Hypermetric Spaces and the Hamming Cone
  • The cut cone,L1 embeddability, complexity, and multicommodity flows
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