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» Improved Steiner tree approximation in graphs
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SODA
2001
ACM
87views Algorithms» more  SODA 2001»
13 years 9 months ago
Steiner points in tree metrics don't (really) help
Consider an edge-weighted tree T = (V, E, w : E R+ ), in which a subset R of the nodes (called the required nodes) are colored red and the remaining nodes in S = V \R are colored ...
Anupam Gupta
SODA
2001
ACM
150views Algorithms» more  SODA 2001»
13 years 9 months ago
A faster implementation of the Goemans-Williamson clustering algorithm
We give an implementation of the Goemans-Williamson clustering procedure which is at the core of several approximation algorithms including those for Generalized Steiner Trees, Pr...
Richard Cole, Ramesh Hariharan, Moshe Lewenstein, ...
SODA
2010
ACM
178views Algorithms» more  SODA 2010»
14 years 5 months ago
Tree Embeddings for Two-Edge-Connected Network Design
The group Steiner problem is a classical network design problem where we are given a graph and a collection of groups of vertices, and want to build a min-cost subgraph that conne...
Anupam Gupta, Ravishankar Krishnaswamy, R. Ravi
SIAMDM
2008
139views more  SIAMDM 2008»
13 years 7 months ago
Approximate Integer Decompositions for Undirected Network Design Problems
A well-known theorem of Nash-Williams and Tutte gives a necessary and sufficient condition for the existence of k edge-disjoint spanning trees in an undirected graph. A corollary o...
Chandra Chekuri, F. Bruce Shepherd
SODA
2008
ACM
128views Algorithms» more  SODA 2008»
13 years 9 months ago
Analysis of greedy approximations with nonsubmodular potential functions
In this paper, we present two techniques to analyze greedy approximation with nonsubmodular functions restricted submodularity and shifted submodularity. As an application of the ...
Ding-Zhu Du, Ronald L. Graham, Panos M. Pardalos, ...