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ANTSW
2006
Springer
13 years 11 months ago
Kernelization as Heuristic Structure for the Vertex Cover Problem
Abstract. For solving combinatorial optimisation problems, exact methods accurately exploit the structure of the problem but are tractable only up to a certain size; approximation ...
Stephen Gilmour, Mark Dras
ESA
2003
Springer
189views Algorithms» more  ESA 2003»
14 years 18 days ago
On the Complexity of Approximating TSP with Neighborhoods and Related Problems
We prove that various geometric covering problems, related to the Travelling Salesman Problem cannot be efficiently approximated to within any constant factor unless P = NP. This ...
Shmuel Safra, Oded Schwartz
ICALP
2011
Springer
12 years 10 months ago
Vertex Cover in Graphs with Locally Few Colors
In [13], Erd˝os et al. defined the local chromatic number of a graph as the minimum number of colors that must appear within distance 1 of a vertex. For any ∆ ≥ 2, there are ...
Fabian Kuhn, Monaldo Mastrolilli
FOCS
2008
IEEE
14 years 1 months ago
Constant-Time Approximation Algorithms via Local Improvements
We present a technique for transforming classical approximation algorithms into constant-time algorithms that approximate the size of the optimal solution. Our technique is applic...
Huy N. Nguyen, Krzysztof Onak
CIAC
2006
Springer
135views Algorithms» more  CIAC 2006»
13 years 11 months ago
Approximation Algorithms for Capacitated Rectangle Stabbing
In the rectangle stabbing problem we are given a set of axis parallel rectangles and a set of horizontal and vertical lines, and our goal is to find a minimum size subset of lines...
Guy Even, Dror Rawitz, Shimon Shahar