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Titlebook: Parameterized and Exact Computation; 4th International Wo Jianer Chen,Fedor V. Fomin Conference proceedings 2009 Springer-Verlag Berlin Hei

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Kernelization: New Upper and Lower Bound Techniques,nction of a parameter. Several results of recent research on kernelization are mentioned. This survey looks at some recent results where a general technique shows the existence of kernelization algorithms for large classes of problems, in particular for planar graphs and generalizations of planar gr
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Planar Capacitated Dominating Set Is ,[1]-Hard,. which maps every vertex in (.(.) ∖ .) to one of its neighbors such that the total number of vertices mapped by . to any vertex . ∈ . does not exceed .(.). In the . problem we are given a planar graph ., a capacity function . and a positive integer . and asked whether . has a capacitated dominating
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The Complexity of Satisfiability of Small Depth Circuits, exponentially better than a brute force search. We show an improved randomized algorithm for the satisfiability problem for circuits of constant depth . and a linear number of gates .: for each . and ., the running time is 2. where the improvement ., and the constant in the big-Oh depends only on .
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