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» Hardness and approximation of minimum distortion embeddings
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IPL
2010
115views more  IPL 2010»
13 years 7 months ago
Hardness and approximation of minimum distortion embeddings
We show that the problem of computing a minimum distortion embedding of a given graph into a path remains NP-hard when the input graph is restricted to a bipartite, cobipartite, o...
Pinar Heggernes, Daniel Meister
APPROX
2007
Springer
102views Algorithms» more  APPROX 2007»
14 years 2 months ago
Hardness of Embedding Metric Spaces of Equal Size
Abstract. We study the problem embedding an n-point metric space into another n-point metric space while minimizing distortion. We show that there is no polynomial time algorithm t...
Subhash Khot, Rishi Saket
STOC
2005
ACM
130views Algorithms» more  STOC 2005»
14 years 8 months ago
Low-distortion embeddings of general metrics into the line
A low-distortion embedding between two metric spaces is a mapping which preserves the distances between each pair of points, up to a small factor called distortion. Low-distortion...
Mihai Badoiu, Julia Chuzhoy, Piotr Indyk, Anastasi...
COMPGEOM
2006
ACM
14 years 2 months ago
Embedding ultrametrics into low-dimensional spaces
We study the problem of minimum-distortion embedding of ultrametrics into the plane and higher dimensional spaces. Ultrametrics are a natural class of metrics that frequently occu...
Mihai Badoiu, Julia Chuzhoy, Piotr Indyk, Anastasi...
TCS
2011
13 years 3 months ago
Computing minimum distortion embeddings into a path for bipartite permutation graphs and threshold graphs
The problem of computing minimum distortion embeddings of a given graph into a line (path) was introduced in 2004 and has quickly attracted significant attention with subsequent ...
Pinar Heggernes, Daniel Meister, Andrzej Proskurow...