P. Healy, Pierre Laroche, Franc Marchetti, Sébastien Martin, Zsuzsanna Róka
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Exact and Heuristic Solutions to the Connected k-Partitioning Problem
We study the problem of partitioning a graph into k connected components, which may also be referred to as the maximum k-cutset problem. Firstly, we present an exact algorithm and a variant, both implemented as integer linear programming (ILP) models. We then present a heuristic approach that will be seen to be extremely competitive with the exact algorithm for the ranges of graph under consideration.