4 search results - page 1 / 1 » Euclidean distortion and the sparsest cut |
STOC
2005
ACM
15 years 10 months ago
2005
ACM
We prove that every n-point metric space of negative type (and, in particular, every npoint subset of L1) embeds into a Euclidean space with distortion O( log n ? log log n), a r...
TALG
2008
14 years 10 months ago
2008
In this paper, we study the metrics of negative type, which are metrics (V, d) such that d is an Euclidean metric; these metrics are thus also known as " 2-squared" met...
STOC
2009
ACM
15 years 10 months ago
2009
ACM
We study the topological simplification of graphs via random embeddings, leading ultimately to a reduction of the Gupta-Newman-Rabinovich-Sinclair (GNRS) L1 embedding conjecture t...
STACS
2007
Springer
15 years 4 months ago
2007
Springer
: Hard metrics are the class of extremal metrics with respect to embedding into Euclidean spaces: they incur Ω(logn) multiplicative distortion, which is as large as it can possib...