OPTIMAL LOWER BOUND ON THE SUPREMAL STRICT p-NEGATIVE TYPE OF A FINITE METRIC SPACE

DOI10.1017/S0004972709000604zbMath1184.46025MaRDI QIDQ3651091

Anthony Weston

Publication date: 8 December 2009

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

finite metric spacegeneralized roundnessstrict \(p\)-negative type

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Geometry and structure of normed linear spaces (46B20) Distance in graphs (05C12) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85)

Related Items (4)

Asymptotic negative type properties of finite ultrametric spaces ⋮ Estimating the gap of finite metric spaces of strict \(p\)-negative type ⋮ On the supremal \(p\)-negative type of finite metric spaces ⋮ On the gap of finite metric spaces of \(p\)-negative type

Cites Work

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• On the generalized roundness of finite metric spaces
• On a problem of Smirnov
• Remarks to Maurice Frechet's article ``Sur la definition axiomatique d'une classe d'espaces vectoriels distancies applicables vectoriellement sur l'espace de Hilbert
• Hyperbolic spaces are of strictly negative type
• Uniform Embeddings into Hilbert Space and a Question of Gromov
• An Introduction to Metric Spaces and Fixed Point Theory
• Metric Spaces and Positive Definite Functions
• Geometry of cuts and metrics

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