Dynamic dominating set and turbo-charging greedy heuristics

Rodney G. Downey, Judith Egan, Michael R. Fellows, Frances Rosamond, Peter Martin Shaw · Tsinghua Science & Technology · 2014

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.

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