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APPROX
2006
Springer
106views Algorithms» more  APPROX 2006»
13 years 8 months ago
A Tight Lower Bound for the Steiner Point Removal Problem on Trees
Gupta (SODA'01) considered the Steiner Point Removal (SPR) problem on trees. Given an edge-weighted tree T and a subset S of vertices called terminals in the tree, find an edg...
Hubert T.-H. Chan, Donglin Xia, Goran Konjevod, An...
ESA
2008
Springer
134views Algorithms» more  ESA 2008»
13 years 6 months ago
A Near-Tight Bound for the Online Steiner Tree Problem in Graphs of Bounded Asymmetry
The edge asymmetry of a directed, edge-weighted graph is defined as the maximum ratio of the weight of antiparallel edges in the graph, and can be used as a measure of the heterog...
Spyros Angelopoulos
SODA
2003
ACM
133views Algorithms» more  SODA 2003»
13 years 5 months ago
Integrality ratio for group Steiner trees and directed steiner trees
The natural relaxation for the Group Steiner Tree problem, as well as for its generalization, the Directed Steiner Tree problem, is a flow-based linear programming relaxation. We...
Eran Halperin, Guy Kortsarz, Robert Krauthgamer, A...
FOCS
2008
IEEE
13 years 11 months ago
Shallow-Low-Light Trees, and Tight Lower Bounds for Euclidean Spanners
We show that for every n-point metric space M and positive integer k, there exists a spanning tree T with unweighted diameter O(k) and weight w(T) = O(k · n1/k ) · w(MST(M)), an...
Yefim Dinitz, Michael Elkin, Shay Solomon
STOC
2003
ACM
130views Algorithms» more  STOC 2003»
14 years 4 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