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» Bounded fixed-parameter tractability and reducibility
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APAL
2007
131views more  APAL 2007»
13 years 5 months ago
Bounded fixed-parameter tractability and reducibility
We study a refined framwork of parameterized complexity theory where the parameter dependendence of fixed-parameter tractable algorithms is not arbitrary, but restricted by a fu...
Rod Downey, Jörg Flum, Martin Grohe, Mark Wey...
CATS
2008
13 years 6 months ago
Parameterized Complexity of the Clique Partition Problem
The problem of deciding whether the edge-set of a given graph can be partitioned into at most k cliques is well known to be NP-complete. In this paper we investigate this problem ...
Egbert Mujuni, Frances A. Rosamond
SODA
2010
ACM
235views Algorithms» more  SODA 2010»
14 years 2 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...
MOC
2002
118views more  MOC 2002»
13 years 4 months ago
The error bounds and tractability of quasi-Monte Carlo algorithms in infinite dimension
Dimensionally unbounded problems are frequently encountered in practice, such as in simulations of stochastic processes, in particle and light transport problems and in the problem...
Fred J. Hickernell, Xiaoqun Wang
CSL
2009
Springer
13 years 9 months ago
Tree-Width for First Order Formulae
We introduce tree-width for first order formulae , fotw(). We show that computing fotw is fixed-parameter tractable with parameter fotw. Moreover, we show that on classes of formul...
Isolde Adler, Mark Weyer