An algorithm for computing cutpoints in finite metric spaces

DOI10.1007/s00357-010-9055-7zbMath1337.54016OpenAlexW2080171543MaRDI QIDQ263276

Andreas Spillner, Katharina T. Huber, Andreas W. M. Dress, Jack H. Koolen, Vincent L. Moulton

Publication date: 4 April 2016

Published in: Journal of Classification (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00357-010-9055-7

zbMATH Keywords

decompositionblockmetrictight spanrealizationcutpoint

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Metric spaces, metrizability (54E35)

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Cites Work

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• The metric cutpoint partition problem
• On optimal embeddings of metrics in graphs
• Block realizations of finite metrics and the tight-span construction. I: The embedding theorem
• Cut points in metric spaces
• Compatible decompositions and block realizations of finite metrics
• The metric bridge partition problem: Partitioning of a metric space into two subspaces linked by an edge in any optimal realization
• Trees, tight extensions of metric spaces, and the cohomological dimension of certain groups: A note on combinatorial properties of metric spaces
• A canonical decomposition theory for metrics on a finite set
• Simple algorithms for the on-line multidimensional dictionary and related problems
• Distance realization problems with applications to internet tomography
• A structured family of clustering and tree construction methods
• Six theorems about injective metric spaces
• An Algorithm for Computing Virtual Cut Points in Finite Metric Spaces
• Quelques problèmes concernant les espaces métriques non-séparables
• Geometry of cuts and metrics