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Las Vegas, Nevada

Oct. 14, 2001 to Oct. 17, 2001

ISBN: 0-7695-1390-5

pp: 396

ABSTRACT

This paper gives a nearly logarithmic lower bound on the randomized competitive ratio for the Metrical Task Systems model [9]. This implies a similar lower bound for the extensively studied K-server problem. Our proof is based on proving a Ramsey-type theorem for metric spaces. In particular we prove that in every metric space there exists a large subspace which is approximately a "hierarchically well-separated tree" (HST) [3]. This theorem may be of independent interest.

CITATION

Y. Barta,
M. Mendel,
"A Ramsey-Type Theorem for Metric Spaces and its Applications for Metrical Task Systems and Related Problems",

*FOCS*, 2001, 2013 IEEE 54th Annual Symposium on Foundations of Computer Science, 2013 IEEE 54th Annual Symposium on Foundations of Computer Science 2001, pp. 396, doi:10.1109/SFCS.2001.959914