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arXiv · 1604.06434

Estimating the gap of finite metric spaces of strict p-negative type

Reinhard Wolf
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Abstract

Let (X,d) be a finite metric space. This paper first discusses the spectrum of the p-distance matrix of a finite metric space of p-negative type and then gives upper and lower bounds for the so called gap of a finite metric space of strict p-negative type. Furthermore estimations for the gap under a certain glueing construction for finite metric spaces are given and finally be applied to finite ultrametric spaces.

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Reinhard Wolf. 2016-04-21. Estimating the gap of finite metric spaces of strict p-negative type. https://arxiv.org/abs/1604.06434

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