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APPROX
2006
Springer
234views Algorithms» more  APPROX 2006»
13 years 8 months ago
Constant-Factor Approximation for Minimum-Weight (Connected) Dominating Sets in Unit Disk Graphs
For a given graph with weighted vertices, the goal of the minimum-weight dominating set problem is to compute a vertex subset of smallest weight such that each vertex of the graph...
Christoph Ambühl, Thomas Erlebach, Matú...
CORR
2006
Springer
144views Education» more  CORR 2006»
13 years 4 months ago
The minimum linear arrangement problem on proper interval graphs
We present a linear time algorithm for the minimum linear arrangement problem on proper interval graphs. The obtained ordering is a 4-approximation for general interval graphs. 1 ...
Ilya Safro
ESA
2006
Springer
134views Algorithms» more  ESA 2006»
13 years 8 months ago
A Unified Approach to Approximating Partial Covering Problems
An instance of the generalized partial cover problem consists of a ground set U and a family of subsets S 2U . Each element e U is associated with a profit p(e), whereas each su...
Jochen Könemann, Ojas Parekh, Danny Segev
APPROX
2008
Springer
137views Algorithms» more  APPROX 2008»
13 years 6 months ago
Approximating Directed Weighted-Degree Constrained Networks
Given a graph H = (V, F) with edge weights {w(e) : e F}, the weighted degree of a node v in H is {w(vu) : vu F}. We give bicriteria approximation algorithms for problems that see...
Zeev Nutov
SECON
2008
IEEE
13 years 11 months ago
Deploying Directional Sensor Networks with Guaranteed Connectivity and Coverage
Abstract—In contrast to existing work on the connected coverage problem in wireless sensor networks which assumes omnidirectional sensors with disk-like sensing range, this paper...
Xiaofeng Han, Xiang Cao, Errol L. Lloyd, Chien-Chu...