Mixed-Integer Programming Techniques for the Connected Max-k-Cut Problem

Christopher Hojny (Corresponding author), Imke Joormann, Hendrik Lüthen, Martin Schmidt

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1 Citaat (Scopus)


We consider an extended version of the classical Max-k-Cut problem in which we additionally require that the parts of the graph partition are connected. For this problem we study two alternative mixed-integer linear formulations and review existing as well as develop new branch-and-cut techniques like cuts, branching rules, propagation, primal heuristics, and symmetry breaking. The main focus of this paper is an extensive numerical study in which we analyze the impact of the different techniques for various test sets. It turns out that the techniques from the existing literature are not sufficient to solve an adequate fraction of the test sets. However, our novel techniques significantly outperform the existing ones both in terms of running times and the overall number of instances that can be solved.

Originele taal-2Engels
Pagina's (van-tot)75-132
Aantal pagina's58
TijdschriftMathematical Programming Computation
Vroegere onlinedatum30 apr 2020
StatusGepubliceerd - mrt 2021


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