Exact and Heuristic Solutions to the Connected k-Partitioning Problem

P. Healy, Pierre Laroche, Franc Marchetti, Sébastien Martin, Zsuzsanna Róka
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引用次数: 1

Abstract

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.
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连通k-划分问题的精确和启发式解
我们研究了将一个图划分为k个连通分量的问题,这也可以称为最大k切集问题。首先,我们提出了一种精确算法和一种变型算法,两者都以整数线性规划(ILP)模型实现。然后,我们提出了一种启发式方法,该方法将被视为与所考虑的图范围的精确算法极具竞争力。
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