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MFCS
2004
Springer
15 years 7 months ago
The Bidimensional Theory of Bounded-Genus Graphs
Abstract. Bidimensionality provides a tool for developing subexponential fixed-parameter algorithms for combinatorial optimization problems on graph families that exclude a minor....
Erik D. Demaine, Mohammad Taghi Hajiaghayi, Dimitr...
MFCS
2009
Springer
15 years 8 months ago
A Complexity Dichotomy for Finding Disjoint Solutions of Vertex Deletion Problems
We investigate the computational complexity of a general “compression task” centrally occurring in the recently developed technique of iterative compression for exactly solving...
Michael R. Fellows, Jiong Guo, Hannes Moser, Rolf ...
FSTTCS
2009
Springer
15 years 8 months ago
Kernels for Feedback Arc Set In Tournaments
A tournament T = (V, A) is a directed graph in which there is exactly one arc between every pair of distinct vertices. Given a digraph on n vertices and an integer parameter k, th...
Stéphane Bessy, Fedor V. Fomin, Serge Gaspe...
LATIN
2004
Springer
15 years 7 months ago
Bidimensional Parameters and Local Treewidth
For several graph-theoretic parameters such as vertex cover and dominating set, it is known that if their sizes are bounded by k then the treewidth of the graph is bounded by some ...
Erik D. Demaine, Fedor V. Fomin, Mohammad Taghi Ha...
CORR
2010
Springer
162views Education» more  CORR 2010»
14 years 10 months ago
Cross-Composition: A New Technique for Kernelization Lower Bounds
We introduce a new technique for proving kernelization lower bounds, called cross-composition. A classical problem L cross-composes into a parameterized problem Q if an instance o...
Hans L. Bodlaender, Bart M. P. Jansen, Stefan Krat...