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arXiv · 2310.09196

A 4-approximation algorithm for min max correlation clustering

Holger Heidrich·Jannik Irmai·Bjoern Andres
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Abstract

We introduce a lower bounding technique for the min max correlation clustering problem and, based on this technique, a combinatorial 4-approximation algorithm for complete graphs. This improves upon the previous best known approximation guarantees of 5, using a linear program formulation (Kalhan et al., 2019), and 40, for a combinatorial algorithm (Davies et al., 2023a). We extend this algorithm by a greedy joining heuristic and show empirically that it improves the state of the art in solution quality and runtime on several benchmark datasets.

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Holger Heidrich, Jannik Irmai, Bjoern Andres. 2023-10-13. A 4-approximation algorithm for min max correlation clustering. https://arxiv.org/abs/2310.09196

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