On the gap of finite metric spaces of p-negative type

Abstract

Let (X,d) be a metric space of p-negative type. Recently I. Doust and A. Weston introduced a quantification of the p-negative type property, the so called gap Γ of X. This paper gives some formulas for the gap Γ of a finite metric space of strict p-negative type and applies them to evaluate Γ for some concrete finite metric spaces.