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Creators/Authors contains: "Zuluaga, Luis_F"

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  1. ; ; ; ; (, Optimization Letters)
    Abstract Given graph$$G=(V,E)$$ G = ( V , E ) with vertex setVand edge setE, the maxk-cut problem seeks to partition the vertex setVinto at mostksubsets that maximize the weight (number) of edges with endpoints in different parts. This paper proposes a graph folding procedure (i.e., a procedure that reduces the number of the vertices and edges of graphG) for the weighted maxk-cut problem that may help reduce the problem’s dimensionality. While our theoretical results hold for any$$k \ge 2$$ k ≥ 2 , our computational results show the effectiveness of the proposed preprocessonlyfor$$k=2$$ k = 2 and on two sets of instances. Furthermore, we observe that the preprocess improves the performance of a MIP solver on a set of large-scale instances of the max cut problem. 
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