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» Parameterized Complexity: Exponential Speed-Up for Planar Gr...
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TAMC
2009
Springer
14 years 1 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
FAW
2007
Springer
177views Algorithms» more  FAW 2007»
14 years 1 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
ICALP
2003
Springer
14 years 4 days 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»
14 years 4 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...