Euclidean embeddings of finite metric spaces

Abstract

This is a brief survey on Euclidean embeddings of finite metric spaces, focusing on the power transform metric with many examples. Some old results are presented in slightly improved forms, and the last section contains a few new results. Proofs are given if they are elementary and not too long. Several problems and conjectures are also given. © 2013 Elsevier Ltd. All rights reserved.