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JUCS
2007
148views more  JUCS 2007»
13 years 7 months ago
Analysis of two Sweep-line Algorithms for Constructing Spanning Trees and Steiner Trees
: We give a tight analysis of an old and popular sweep-line heuristic for constructing a spanning tree of a set of n points in the plane. The algorithm sweeps a vertical line acros...
Adrian Dumitrescu, Csaba D. Tóth
ALGORITHMICA
1998
184views more  ALGORITHMICA 1998»
13 years 7 months ago
Approximation Algorithms for Connected Dominating Sets
The dominatingset problemin graphs asks for a minimumsize subset of vertices with the followingproperty: each vertex is required to either be in the dominating set, or adjacent to...
Sudipto Guha, Samir Khuller
IPCO
2001
166views Optimization» more  IPCO 2001»
13 years 9 months ago
Approximate k-MSTs and k-Steiner Trees via the Primal-Dual Method and Lagrangean Relaxation
Garg [10] gives two approximation algorithms for the minimum-cost tree spanning k vertices in an undirected graph. Recently Jain and Vazirani [16] discovered primal-dual approxima...
Fabián A. Chudak, Tim Roughgarden, David P....
ESA
2008
Springer
108views Algorithms» more  ESA 2008»
13 years 9 months ago
Two-Stage Robust Network Design with Exponential Scenarios
Abstract. We study two-stage robust variants of combinatorial optimization problems like Steiner tree, Steiner forest, and uncapacitated facility location. The robust optimization ...
Rohit Khandekar, Guy Kortsarz, Vahab S. Mirrokni, ...
SODA
1998
ACM
128views Algorithms» more  SODA 1998»
13 years 9 months ago
A Polynomial-Time Approximation Scheme for Weighted Planar Graph TSP
Given a planar graph on n nodes with costs weights on its edges, de ne the distance between nodes i and j as the length of the shortest path between i and j. Consider this as an i...
Sanjeev Arora, Michelangelo Grigni, David R. Karge...