Chromatic correlation clustering via cluster LP
Data Structures and Algorithms
2025-10-16 v1
Abstract
Correlation Clustering is a fundamental clustering problem, and there has been a line of work on improving the approximation ratio for this problem in recent years. A key algorithmic component in these works is the cluster LP. Chromatic Correlation Clustering is an interesting generalization that has also been intensively studied. In light of success of the cluster LP in Correlation Clustering, it would be an interesting question whether the cluster LP can be used in Chromatic Correlation Clustering. We answer this question with affirmatives by presenting a -approximation algorithm for Chromatic Correlation Clustering using a chromatic cluster LP.
Keywords
Cite
@article{arxiv.2510.13446,
title = {Chromatic correlation clustering via cluster LP},
author = {Fateme Abbasi and Hyung-Chan An and Jarosław Byrka and Changyeol Lee and Yongho Shin},
journal= {arXiv preprint arXiv:2510.13446},
year = {2025}
}