Finite metric spaces of strictly negative type

DOI10.1016/S0024-3795(97)00242-5zbMath0894.51003OpenAlexW2091759122WikidataQ43080293 ScholiaQ43080293MaRDI QIDQ1377510

Petr Lisoněk, Carsten Thomassen, Steen Markvorsen, Poul G. Hjorth

Publication date: 12 August 1998

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0024-3795(97)00242-5

zbMATH Keywords

finite metric spacesantipodal pointsstrictly negative type

Mathematics Subject Classification ID

Compact (locally compact) metric spaces (54E45) General theory of distance geometry (51K05)

Related Items (28)

Asymptotic negative type properties of finite ultrametric spaces ⋮ On a quadratic programming problem involving distances in trees ⋮ ROUNDNESS PROPERTIES OF ULTRAMETRIC SPACES ⋮ Variance and Covariance of Distributions on Graphs ⋮ Estimating the gap of finite metric spaces of strict \(p\)-negative type ⋮ Positive definite metric spaces ⋮ Strictly and non-strictly positive definite functions on spheres ⋮ On solving a non-convex quadratic programming problem involving resistance distances in graphs ⋮ The Brownian Castle ⋮ Supremal \(p\)-negative type of vertex transitive graphs ⋮ Strong negative type in spheres ⋮ Decision systems in rough set theory: A set operatorial perspective ⋮ Enhanced negative type for finite metric trees ⋮ COMPARING THE GENERALISED ROUNDNESS OF METRIC SPACES ⋮ Corrigendum to: ``Enhanced negative type for finite metric trees [J. Funct. Anal. 254, No. 9, 2336-2364 (2008)] ⋮ On the supremal \(p\)-negative type of finite metric spaces ⋮ A new type of neural network for reservoir identification using geophysical well logs ⋮ On the gap of finite metric spaces of \(p\)-negative type ⋮ The maximal generalised roundness of finite metric spaces ⋮ On the Structure of Isometrically Embeddable Metric Spaces ⋮ Hyperbolic spaces are of strictly negative type ⋮ Strict \(p\)-negative type of a metric space ⋮ On the completeness of certain kernel-defined semi-inner product spaces ⋮ Distance matrices of subsets of the Hamming cube ⋮ Characterizing the round sphere by mean distance ⋮ Finite quasihypermetric spaces ⋮ Polygonal equalities and virtual degeneracy in \(L_p\)-spaces ⋮ Additive combination spaces

Cites Work

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• Approximation by matrices positive semidefinite on a subspace
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• Manifestations of the Schur complement
• The cone of distance matrices
• On certain metric spaces arising from euclidean spaces by a change of metric and their imbedding in Hilbert space
• On Isometric Embeddings of Graphs
• On the distance matrix of a directed graph
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