TY - JOUR

T1 - Trees and Euclidean metrics

AU - Linial, Nathan

AU - Magen, Avner

AU - Saks, Michael E.

PY - 1998

Y1 - 1998

N2 - To study a finite metric space (X,d), an approximation in the form of a metric that is introduced from a norm is needed. The quality of such an approximation is quantified by the distortion of the corresponding embedding. Embedding into Euclidean spaces is discussed including an introduction of the notation c2(X,d) - the least distortion with which (X,d) may be embedded in any Euclidean space.

AB - To study a finite metric space (X,d), an approximation in the form of a metric that is introduced from a norm is needed. The quality of such an approximation is quantified by the distortion of the corresponding embedding. Embedding into Euclidean spaces is discussed including an introduction of the notation c2(X,d) - the least distortion with which (X,d) may be embedded in any Euclidean space.

UR - http://www.scopus.com/inward/record.url?scp=0031624266&partnerID=8YFLogxK

U2 - 10.1145/276698.276726

DO - 10.1145/276698.276726

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AN - SCOPUS:0031624266

SN - 0734-9025

SP - 169

EP - 175

JO - Conference Proceedings of the Annual ACM Symposium on Theory of Computing

JF - Conference Proceedings of the Annual ACM Symposium on Theory of Computing

T2 - Proceedings of the 1998 30th Annual ACM Symposium on Theory of Computing

Y2 - 23 May 1998 through 26 May 1998

ER -