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ICALP
2007
Springer
13 years 10 months ago
Linear Problem Kernels for NP-Hard Problems on Planar Graphs
Abstract. We develop a generic framework for deriving linear-size problem kernels for NP-hard problems on planar graphs. We demonstrate the usefulness of our framework in several c...
Jiong Guo, Rolf Niedermeier
FAW
2007
Springer
177views Algorithms» more  FAW 2007»
13 years 10 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
TAMC
2009
Springer
13 years 11 months ago
Linear Kernel for Planar Connected Dominating Set
We provide polynomial time data reduction rules for Connected Dominating Set in planar graphs and analyze these to obtain a linear kernel for the planar Connected Dominating Set pr...
Daniel Lokshtanov, Matthias Mnich, Saket Saurabh
WG
2010
Springer
13 years 3 months ago
On the Small Cycle Transversal of Planar Graphs
We consider the problem of finding a k-edge transversal set that covers all (simple) cycles of length at most s in a planar graph, where s ≥ 3 is a constant. This problem, refe...
Ge Xia, Yong Zhang
LATIN
1995
Springer
13 years 8 months ago
Linear-Time Algorithms for Parametric Minimum Spanning Tree Problems on Planar Graphs
A linear-time algorithm for the minimum-ratio spanning tree problem on planar graphs is presented. The algorithm is based on a new planar minimum spanning tree algorithm. The appr...
David Fernández-Baca, Giora Slutzki