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A note on the complexity of minimum dominating set
Authors:Fabrizio Grandoni
Affiliation:Max-Planck-Institut für Informatik, Stuhlsatzenhausweg 85, 66123 Saarbrücken, Germany
Abstract:
The currently (asymptotically) fastest algorithm for minimum dominating set on graphs of n nodes is the trivial Ω(2n) algorithm which enumerates and checks all the subsets of nodes. In this paper we present a simple algorithm which solves this problem in O(1.81n) time.
Keywords:Dominating set   Set cover   Exact algorithms
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