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 -