Euclidean Spanners in High Dimensions

A classical result in metric geometry asserts that any n-point metric admits a linear-size spanner of dilation O(log n) [PS89]. More generally, for any c > 1, any metric space admits a spanner of size O(n[superscript 1+1/c]), and dilation at most c. This bound is tight assuming the well-known gir...

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Bibliographic Details
Main Authors: Har-Peled, Sariel, Indyk, Piotr, Sidiropoulos, Anastasios
Other Authors: Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Format: Article
Language:en_US
Published: Society for Industrial and Applied Mathematics 2014
Online Access:http://hdl.handle.net/1721.1/87001
https://orcid.org/0000-0002-7983-9524