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» Approximation Algorithms for Dominating Set in Disk Graphs
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ICALP
2009
Springer
14 years 8 months 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 ...
ICALP
2004
Springer
14 years 1 months ago
The Minimum-Entropy Set Cover Problem
We study graph orientations that minimize the entropy of the in-degree sequence. The problem of finding such an orientation is an interesting special case of the minimum entropy ...
Eran Halperin, Richard M. Karp
ESA
2009
Springer
112views Algorithms» more  ESA 2009»
14 years 2 months ago
Dynamic Programming on Tree Decompositions Using Generalised Fast Subset Convolution
Abstract. In this paper, we show that algorithms on tree decompositions can be made faster with the use of generalisations of fast subset convolution. Amongst others, this gives al...
Johan M. M. van Rooij, Hans L. Bodlaender, Peter R...
CORR
2011
Springer
205views Education» more  CORR 2011»
12 years 11 months ago
Algorithms for Implicit Hitting Set Problems
A hitting set for a collection of sets is a set that has a nonempty intersection with each set in the collection; the hitting set problem is to find a hitting set of minimum card...
Karthekeyan Chandrasekaran, Richard Karp, Erick Mo...
ICALP
2009
Springer
14 years 8 months ago
SDP-Based Algorithms for Maximum Independent Set Problems on Hypergraphs
Abstract. This paper deals with approximations of maximum independent sets in non-uniform hypergraphs of low degree. We obtain the first performance ratio that is sublinear in term...
Elena Losievskaja, Geir Agnarsson, Magnús M...