Article thumbnail

Euclidean quotients of finite metric spaces

By Manor Mendel and Assaf Naor

Abstract

AbstractThis paper is devoted to the study of quotients of finite metric spaces. The basic type of question we ask is: Given a finite metric space M and α⩾1, what is the largest quotient of (a subset of) M which well embeds into Hilbert space. We obtain asymptotically tight bounds for these questions, and prove that they exhibit phase transitions. We also study the analogous problem for embeddings into ℓp, and the particular case of the hypercube

Publisher: Elsevier Inc.
Year: 2004
DOI identifier: 10.1016/j.aim.2003.12.001
OAI identifier:

Suggested articles


To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.