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IntroductionThere has been a growing interest in finite metricspaces and their approximations. Such considerationshave proved useful in a number of graph algorithms[13], in clustering [11] and most recently in online computation[2, 3]. To study a given metric space, one seeksfirst an approximate metric from a better-understoodclass of metrics. Thus, approximations by l 1 metricsare instrumental in the study of multicommodity flowsInstitute of Computer Science, Hebrew University,...

Trees and Euclidean metrics