Poster
A 4-Approximation Algorithm for Min Max Correlation Clustering
Holger Heidrich · Jannik Irmai · Bjoern Andres
Multipurpose Room 2 - Number 177
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Abstract
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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., 2023). 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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