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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
ISAAC
1998
Springer
153views Algorithms» more  ISAAC 1998»
13 years 12 months ago
Approximation Algorithms for Some Optimum Communication Spanning Tree Problems
Let G = (V; E; w) be an undirected graph with nonnegative edge length function w and nonnegative vertex weight function r. The optimal product-requirement communication spanning t...
Bang Ye Wu, Kun-Mao Chao, Chuan Yi Tang
STOC
2003
ACM
130views Algorithms» more  STOC 2003»
14 years 8 months ago
A tight bound on approximating arbitrary metrics by tree metrics
In this paper, we show that any n point metric space can be embedded into a distribution over dominating tree metrics such that the expected stretch of any edge is O(log n). This ...
Jittat Fakcharoenphol, Satish Rao, Kunal Talwar
SWAT
1994
Springer
126views Algorithms» more  SWAT 1994»
13 years 11 months ago
Optimal Parametric Search on Graphs of Bounded Tree-Width
We give linear-time algorithms for a class of parametric search problems on weighted graphs of bounded tree-width. We also discuss the implications of our results to approximate p...
David Fernández-Baca, Giora Slutzki