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

Autor: Wolf, Reinhard
Rok vydání: 2016
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 24 pages, 0 figures
Databáze: arXiv