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» Approximating Steiner Networks with Node-Weights
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NETWORKS
2010
13 years 5 months ago
Probabilistic models for the Steiner Tree problem
We consider a probabilistic model for the Steiner Tree problem. Under this model the problem is defined in a 2-stage setting over a first-stage complete weighted graph having it...
Vangelis Th. Paschos, Orestis Telelis, Vassilis Zi...
APPROX
2000
Springer
122views Algorithms» more  APPROX 2000»
13 years 11 months ago
An approximation algorithm for the fault tolerant metric facility location problem
We consider a fault tolerant version of the metric facility location problem in which every city, j, is required to be connected to rj facilities. We give the first non-trivial ap...
Kamal Jain, Vijay V. Vazirani
STOC
2003
ACM
133views Algorithms» more  STOC 2003»
14 years 7 months ago
A fast algorithm for computing steiner edge connectivity
Given an undirected graph or an Eulerian directed graph G and a subset S of its vertices, we show how to determine the edge connectivity C of the vertices in S in time O(C3 n log ...
Richard Cole, Ramesh Hariharan
WINET
2008
86views more  WINET 2008»
13 years 7 months ago
Relay sensor placement in wireless sensor networks
This paper addresses the following relay sensor placement problem: given the set of duty sensors in the plane and the upper bound of the transmission range, compute the minimum nu...
Xiuzhen Cheng, Ding-Zhu Du, Lusheng Wang, Baogang ...
SODA
2008
ACM
128views Algorithms» more  SODA 2008»
13 years 8 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, ...