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Dynamic Dominating Set and Turbo-Charging Greedy Heuristics
Authors:Rodney G.Downey,  Judith Egan,  Michael R.Fellows,  Frances A.Rosamond,  Peter Shaw
Affiliation:[1]School of Mathematics,Statistics and Operations Research, Victoria Universityof Wellington, Wellington 600, New Zealand; [2]School of Engineering and Information Technology, Charles Darwin University,Darwin, NT 0909, Australia
Abstract:The main purpose of this paper is to exposit two very different, but very general, motivational schemes in the art of parameterization and a concrete example connecting them. We introduce a dynamic version of the DOMINATING SET problem and prove that it is fixed-parameter tractable(FPT). The problem is motivated by settings where problem instances evolve. It also arises in the quest to improve a natural greedy heuristic for the DOMINATING SET problem.
Keywords:kernelization multivariate algorithms parameterized algorithms turbo-charging heuristics
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