16 search results - page 1 / 4 » Distortion lower bounds for line embeddings |
IPL
2008
13 years 4 months ago
2008
In this paper, we show how we can derive lower bounds and also compute the exact distortion for the line embeddings of some special metrics, especially trees and graphs with certai...
JCT
2008
13 years 4 months ago
2008
ABSTRACT. In this paper we give a lower bound for the least distortion embedding of a distance regular graph into Euclidean space. We use the lower bound for finding the least dist...
APPML
2005
13 years 4 months ago
2005
We prove that the maximal inscribed beamlet is at least 1/7 of an arbitrary line segment (i.e., beam). The implication of this result is addressed.
DCG
2010
13 years 4 months ago
2010
We show that the cyclic lamplighter group C2 Cn embeds into Hilbert space with distortion O log n . This matches the lower bound proved by Lee, Naor and Peres in [14], answering a...
RANDOM
2001
Springer
13 years 9 months ago
2001
Springer
We study Euclidean embeddings of Euclidean metrics and present the following four results: (1) an O(log3 n √ log log n) approximation for minimum bandwidth in conjunction with a ...