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The stable set problem and the thinness of a graph
Authors:Carlo Mannino  Gianpaolo Oriolo  Federico Ricci  Sunil Chandran
Affiliation:Dip. di Informatica e Sistemistica, Universita di Roma, ‘La Spapienza’, Via Bounarroti 12, I-00185 Roma, Italy
Abstract:We introduce a poly-time algorithm for the maximum weighted stable set problem, when a certain representation is given for a graph. The algorithm generalizes the algorithm for interval graphs and that for graphs with bounded pathwidth. By a suitable application to the frequency assignment problem, we improved several solutions to relevant benchmark instances.
Keywords:Thinness   Stable set   Frequency assignment   Pathwidth
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