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TALG
2008
81views more  TALG 2008»
13 years 9 months ago
Ordinal embeddings of minimum relaxation: General properties, trees, and ultrametrics
We introduce a new notion of embedding, called minimum-relaxation ordinal embedding, parallel to the standard notion of minimum-distortion (metric) embedding. In an ordinal embedd...
Noga Alon, Mihai Badoiu, Erik D. Demaine, Martin F...
ALGORITHMICA
2002
101views more  ALGORITHMICA 2002»
13 years 9 months ago
Improved Algorithms for Constructing Fault-Tolerant Spanners
Let S be a set of n points in a metric space, and k a positive integer. Algorithms are given that construct k-fault-tolerant spanners for S. If in such a spanner at most k vertice...
Christos Levcopoulos, Giri Narasimhan, Michiel H. ...
STOC
2006
ACM
138views Algorithms» more  STOC 2006»
14 years 10 months ago
Searching dynamic point sets in spaces with bounded doubling dimension
We present a new data structure that facilitates approximate nearest neighbor searches on a dynamic set of points in a metric space that has a bounded doubling dimension. Our data...
Richard Cole, Lee-Ad Gottlieb
PDCAT
2005
Springer
14 years 3 months ago
Approximating Spanning Trees with Inner Nodes Cost
We consider the practical NP-complete problem of finding a minimum weight spanning tree with both edge weights and inner nodes weights. We present two polynomial time algorithms ...
Rudolf Fleischer, Qi Ge, Jian Li, Shijun Tian, Hai...
IPCO
2001
184views Optimization» more  IPCO 2001»
13 years 11 months ago
Approximation Algorithms for the Minimum Bends Traveling Salesman Problem
Problem (Extended Abstract) Cliff Stein David P. Wagner Dartmouth College Computer Science Technical Report TR2000-367 May 9, 2000 The problem of traversing a set of points in the...
Clifford Stein, David P. Wagner