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» Parameterized Complexity: Exponential Speed-Up for Planar Gr...
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89
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ICALP
2001
Springer
15 years 5 months ago
Parameterized Complexity: Exponential Speed-Up for Planar Graph Problems
Jochen Alber, Henning Fernau, Rolf Niedermeier
TAMC
2009
Springer
15 years 7 months ago
On Parameterized Exponential Time Complexity
In this paper we define the notion of an f(k)-uniform parameterized exponential time scheme. We show that a problem can be solved in parameterized O(2o(f(k)) p(n)) time if and on...
Jianer Chen, Iyad A. Kanj, Ge Xia
128
Voted
FAW
2007
Springer
177views Algorithms» more  FAW 2007»
15 years 6 months ago
The Parameterized Complexity of the Induced Matching Problem in Planar Graphs
Abstract. Given a graph G and a nonnegative integer k, the NP-complete Induced Matching problem asks for an edge subset M such that M is a matching and no two edges of M are joined...
Hannes Moser, Somnath Sikdar
100
Voted
ICALP
2003
Springer
15 years 5 months ago
Fixed-Parameter Algorithms for the (k, r)-Center in Planar Graphs and Map Graphs
The (k, r)-center problem asks whether an input graph G has ≤ k vertices (called centers) such that every vertex of G is within distance ≤ r from some center. In this paper we ...
Erik D. Demaine, Fedor V. Fomin, Mohammad Taghi Ha...
SODA
2010
ACM
235views Algorithms» more  SODA 2010»
15 years 10 months ago
Algorithmic Lower Bounds for Problems Parameterized by Clique-width
Many NP-hard problems can be solved efficiently when the input is restricted to graphs of bounded tree-width or clique-width. In particular, by the celebrated result of Courcelle,...
Fedor V. Fomin, Petr A. Golovach, Daniel Lokshtano...