Fair Correlation Clustering
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Abstract (arXiv)
In this paper, we study correlation clustering under fairness constraints. Fair variants of k-median and k-center clustering have been studied recently, and approximation algorithms using a notion called fairlet decomposition have been proposed. We obtain approximation algorithms for fair correlation clustering under several important types of fairness constraints. Our results hinge on obtaining a fairlet decomposition for correlation clustering by introducing a novel combinatorial optimization problem. We define a fairlet decomposition with cost similar to the k-median cost and this allows us to obtain approximation algorithms for a wide range of fairness constraints. We complement our theoretical results with an in-depth analysis of our algorithms on real graphs where we show that fair solutions to correlation clustering can be obtained with limited increase in cost compared to the state-of-the-art (unfair) algorithms.
Key facts. Cited by 27 papers in the map (data through 7 Oct 2026). First posted on arXiv 6 Feb 2020.
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Citing papers per year: 2021: 6; 2022: 4; 2023: 5; 2024: 7; 2025: 2; 2026: 3.
27 papers.
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- 2021Fair Clustering Under a Bounded Costcited by 21
- 2021Through the Data Management Lens: Experimental Analysis and Evaluation of Fair Classificationcited by 13
- 2023Doubly Constrained Fair Clusteringcited by 9
- 2022Individual Preference Stability for Clusteringcited by 8
- 2023Single-Pass Pivot Algorithm for Correlation Clustering. Keep it simple!cited by 8
- 2024A Scalable Algorithm for Individually Fair K-means Clusteringcited by 8
- 2021Sublinear Time and Space Algorithms for Correlation Clustering via Sparse-Dense Decompositionscited by 7
- 2024Query-Efficient Correlation Clustering with Noisy Oraclecited by 7
- 2022Improved Approximation for Fair Correlation Clusteringcited by 6
- 2022FAL-CUR: Fair Active Learning using Uncertainty and Representativeness on Fair Clusteringcited by 6
- 2021Efficient Algorithms For Fair Clustering with a New Fairness Notioncited by 5
- 2021Learning to Generate Fair Clusters from Demonstrationscited by 4
15 more
- 2022Generalized Reductions: Making any Hierarchical Clustering Fair and Balanced with Low Costcited by 4
- 2021Modification-Fair Cluster Editingcited by 3
- 2023Spectral Normalized-Cut Graph Partitioning with Fairness Constraintscited by 3
- 2024Diversity-aware clustering: Computational Complexity and Approximation Algorithmscited by 3
- 2023Fair Clustering via Hierarchical Fair-Dirichlet Processcited by 1
- 2024Robust Fair Clustering with Group Membership Uncertainty Setscited by 1
- 2024Fair Clustering: Critique, Caveats, and Future Directionscited by 1
- 2025Algorithms for the preordering problem and their application to the task of jointly clustering and ordering the accounts of a social networkcited by 1
- 2023Fair Correlation Clustering in Forestscited by 0
- 2024Multilayer Correlation Clusteringcited by 0
- 2024Fully Dynamic Adversarially Robust Correlation Clustering in Polylogarithmic Update Timecited by 0
- 2025Online Correlation Clustering: Simultaneously Optimizing All ℓp-normscited by 0
- 2026A Generic Framework for Fair Consensus Clustering in Streamscited by 0
- 2026Why Colors Make Clustering Harder:Global Integrality Gaps, the Price of Fairness, and Color-Coupled Algorithms in Chromatic Correlation Clusteringcited by 0
- 2026UniFair: A unified fair clustering approach based on separation and compactnesscited by 0
- 2026UniFair: A unified fair clustering approach based on separation and compactness3 Jun 2026
- 2026Why Colors Make Clustering Harder:Global Integrality Gaps, the Price of Fairness, and Color-Coupled Algorithms in Chromatic Correlation Clustering17 Apr 2026
- 2026A Generic Framework for Fair Consensus Clustering in Streams12 Feb 2026
- 2025Online Correlation Clustering: Simultaneously Optimizing All ℓp-norms16 Oct 2025
- 2025Algorithms for the preordering problem and their application to the task of jointly clustering and ordering the accounts of a social network20 Feb 2025
- 2024Fully Dynamic Adversarially Robust Correlation Clustering in Polylogarithmic Update Time15 Nov 2024
- 2024Fair Clustering: Critique, Caveats, and Future Directions22 Jun 2024
- 2024Robust Fair Clustering with Group Membership Uncertainty Sets2 Jun 2024
- 2024Multilayer Correlation Clustering25 Apr 2024
- 2024A Scalable Algorithm for Individually Fair K-means Clustering9 Feb 2024
- 2024Query-Efficient Correlation Clustering with Noisy Oracle2 Feb 2024
- 2024Diversity-aware clustering: Computational Complexity and Approximation Algorithms10 Jan 2024
15 more
- 2023Spectral Normalized-Cut Graph Partitioning with Fairness Constraints22 Jul 2023
- 2023Doubly Constrained Fair Clustering31 May 2023
- 2023Fair Clustering via Hierarchical Fair-Dirichlet Process27 May 2023
- 2023Single-Pass Pivot Algorithm for Correlation Clustering. Keep it simple!23 May 2023
- 2023Fair Correlation Clustering in Forests22 Feb 2023
- 2022FAL-CUR: Fair Active Learning using Uncertainty and Representativeness on Fair Clustering21 Sep 2022
- 2022Individual Preference Stability for Clustering7 Jul 2022
- 2022Improved Approximation for Fair Correlation Clustering9 Jun 2022
- 2022Generalized Reductions: Making any Hierarchical Clustering Fair and Balanced with Low Cost27 May 2022
- 2021Modification-Fair Cluster Editing6 Dec 2021
- 2021Sublinear Time and Space Algorithms for Correlation Clustering via Sparse-Dense Decompositions29 Sep 2021
- 2021Efficient Algorithms For Fair Clustering with a New Fairness Notion2 Sep 2021
- 2021Fair Clustering Under a Bounded Cost14 Jun 2021
- 2021Learning to Generate Fair Clusters from Demonstrations8 Feb 2021
- 2021Through the Data Management Lens: Experimental Analysis and Evaluation of Fair Classification18 Jan 2021
- 2021Fair Clustering Under a Bounded Costcited by 21
- 2021Through the Data Management Lens: Experimental Analysis and Evaluation of Fair Classificationcited by 13
- 2023Doubly Constrained Fair Clusteringcited by 9
- 2022Individual Preference Stability for Clusteringcited by 8
- 2023Single-Pass Pivot Algorithm for Correlation Clustering. Keep it simple!cited by 8
- 2024A Scalable Algorithm for Individually Fair K-means Clusteringcited by 8
- 2021Sublinear Time and Space Algorithms for Correlation Clustering via Sparse-Dense Decompositionscited by 7
- 2024Query-Efficient Correlation Clustering with Noisy Oraclecited by 7
- 2022Improved Approximation for Fair Correlation Clusteringcited by 6
- 2022FAL-CUR: Fair Active Learning using Uncertainty and Representativeness on Fair Clusteringcited by 6
- 2021Efficient Algorithms For Fair Clustering with a New Fairness Notioncited by 5
- 2021Learning to Generate Fair Clusters from Demonstrationscited by 4
12 most cited of 27 All 27 (JSON)
- 2026UniFair: A unified fair clustering approach based on separation and compactness3 Jun 2026
- 2026Why Colors Make Clustering Harder:Global Integrality Gaps, the Price of Fairness, and Color-Coupled Algorithms in Chromatic Correlation Clustering17 Apr 2026
- 2026A Generic Framework for Fair Consensus Clustering in Streams12 Feb 2026
- 2025Online Correlation Clustering: Simultaneously Optimizing All ℓp-norms16 Oct 2025
- 2025Algorithms for the preordering problem and their application to the task of jointly clustering and ordering the accounts of a social network20 Feb 2025
- 2024Fully Dynamic Adversarially Robust Correlation Clustering in Polylogarithmic Update Time15 Nov 2024
- 2024Fair Clustering: Critique, Caveats, and Future Directions22 Jun 2024
- 2024Robust Fair Clustering with Group Membership Uncertainty Sets2 Jun 2024
- 2024Multilayer Correlation Clustering25 Apr 2024
- 2024A Scalable Algorithm for Individually Fair K-means Clustering9 Feb 2024
- 2024Query-Efficient Correlation Clustering with Noisy Oracle2 Feb 2024
- 2024Diversity-aware clustering: Computational Complexity and Approximation Algorithms10 Jan 2024
12 newest of 27 All 27 (JSON)