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arXiv · 1902.06812

The Complexity of Max-Min $k$-Partitioning

Anisse Ismaili
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Abstract

In this paper we study a max-min $k$-partition problem on a weighted graph, that could model a robust $k$-coalition formation. We settle the computational complexity of this problem as complete for class $\Sigma_2^P$. This hardness holds even for $k=2$ and arbitrary weights, or $k=3$ and non-negative weights, which matches what was known on \textsc{MaxCut} and \textsc{Min-3-Cut} one level higher in the polynomial hierarchy.

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Anisse Ismaili. 2019-02-12. The Complexity of Max-Min $k$-Partitioning. https://arxiv.org/abs/1902.06812

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