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ICALP
2009
Springer
16 years 1 days ago
Node-Weighted Steiner Tree and Group Steiner Tree in Planar Graphs
We improve the approximation ratios for two optimization problems in planar graphs. For node-weighted Steiner tree, a classical network-optimization problem, the best achievable ap...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Philip ...
ISAAC
2004
Springer
141views Algorithms» more  ISAAC 2004»
15 years 5 months ago
Weighted Coloring on Planar, Bipartite and Split Graphs: Complexity and Improved Approximation
We study complexity and approximation of min weighted node coloring in planar, bipartite and split graphs. We show that this problem is NP-complete in planar graphs, even if they a...
Jérôme Monnot, Vangelis Th. Paschos, ...
SIAMCOMP
2008
124views more  SIAMCOMP 2008»
14 years 11 months ago
A Faster, Better Approximation Algorithm for the Minimum Latency Problem
We give a 7.18-approximation algorithm for the minimum latency problem that uses only O(n log n) calls to the prize-collecting Steiner tree (PCST) subroutine of Goemans and Willia...
Aaron Archer, Asaf Levin, David P. Williamson
STOC
2007
ACM
146views Algorithms» more  STOC 2007»
16 years 2 days ago
Playing games with approximation algorithms
In an online linear optimization problem, on each period t, an online algorithm chooses st S from a fixed (possibly infinite) set S of feasible decisions. Nature (who may be adve...
Sham M. Kakade, Adam Tauman Kalai, Katrina Ligett
WADS
2005
Springer
114views Algorithms» more  WADS 2005»
15 years 5 months ago
Linear Time Algorithms for Generalized Edge Dominating Set Problems
Abstract. In this paper we consider a generalization of the edge dominating set (EDS) problem, in which each edge e needs to be covered be times and refer to this as the b-EDS prob...
André Berger, Ojas Parekh