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STACS
2010
Springer
14 years 8 days ago
Beyond Bidimensionality: Parameterized Subexponential Algorithms on Directed Graphs
In 2000 Alber et al. [SWAT 2000 ] obtained the first parameterized subexponential algorithm on undirected planar graphs by showing that k-DOMINATING SET is solvable in time 2O( ...
Frederic Dorn, Fedor V. Fomin, Daniel Lokshtanov, ...
SODA
2012
ACM
218views Algorithms» more  SODA 2012»
11 years 7 months ago
Linear kernels for (connected) dominating set on H-minor-free graphs
We give the first linear kernels for DOMINATING SET and CONNECTED DOMINATING SET problems on graphs excluding a fixed graph H as a minor. In other words, we give polynomial time...
Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh, ...
SODA
2012
ACM
243views Algorithms» more  SODA 2012»
11 years 7 months ago
Bidimensionality and geometric graphs
Bidimensionality theory was introduced by Demaine et al. [JACM 2005 ] as a framework to obtain algorithmic results for hard problems on minor closed graph classes. The theory has ...
Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh
ICALP
2009
Springer
14 years 5 months ago
Fast FAST
We present a randomized subexponential time, polynomial space parameterized algorithm for the k-Weighted Feedback Arc Set in Tournaments (k-FAST) problem. We also show that our alg...
Noga Alon, Daniel Lokshtanov, Saket Saurabh
TAMC
2009
Springer
13 years 12 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