# Ramsey Spanning Trees and Their Applications

@article{Abraham2018RamseyST,
title={Ramsey Spanning Trees and Their Applications},
author={Ittai Abraham and Shiri Chechik and Michael Elkin and Arnold Filtser and Ofer Neiman},
journal={ACM Transactions on Algorithms (TALG)},
year={2018},
volume={16},
pages={1 - 21}
}
• Published 27 July 2017
• Mathematics, Computer Science
• ACM Transactions on Algorithms (TALG)
The metric Ramsey problem asks for the largest subset S of a metric space that can be embedded into an ultrametric (more generally into a Hilbert space) with a given distortion. Study of this problem was motivated as a non-linear version of Dvoretzky theorem. Mendel and Naor [29] devised the so-called Ramsey Partitions to address this problem, and showed the algorithmic applications of their techniques to approximate distance oracles and ranking problems. In this article, we study the natural…
15 Citations

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