Fréchet Embeddings of Negative Type Metrics
نویسندگان
چکیده
We show that every n-point metric of negative type (in particular, every n-point subset of L1) admits a Fréchet embedding into Euclidean space with distortion O (√ log n · log log n), a result which is tight up to the O(log log n) factor, even for Euclidean metrics. This strengthens our recent work on the Euclidean distortion of metrics of negative into Euclidean space.
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ورودعنوان ژورنال:
- Discrete & Computational Geometry
دوره 38 شماره
صفحات -
تاریخ انتشار 2007