Abstract

We propose an integer programming formulation for the problem of finding the maximum k -partite induced sub-graph of a graph G based on representatives of stable sets. We investigate upper bounds provided by the solution, via a parallel sub-gradient algorithm, of a Lagrangian decomposition that breaks up this formulation into maximum weighted stable set problems for sub-graphs of G . Some computational experiments were carried out with an effective multi-threaded parallel implementation in a multi-core system, and their results are presented.

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