Approximation Algorithms for the Capacitated Min-Max Correlation Clustering Problem

被引：0

作者：

Ji, Sai ^{[1
]}

Li, Jun ^{[2
]}

Wu, Zijun ^{[3
]}

Xu, Yicheng ^{[4
,5
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China

[2] Beijing Univ Technol, Coll Stat & Data Sci, Beijing 100124, Peoples R China

[3] Hefei Univ, Sch Artificial Intelligence & Big Data, Inst Appl Optimizat, Hefei 230000, Peoples R China

[4] Chinese Acad Sci, Shenzhen Inst Adv Technol, Shenzhen 518055, Peoples R China

[5] Guangxi Key Lab Cryptog & Informat Secur, Guilin 541004, Peoples R China

来源：

ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH | 2023年 / 40卷 / 01期

基金：

中国国家自然科学基金; 中国博士后科学基金; 北京市自然科学基金;

关键词：

Capacitated clustering; min-max correlation clustering; integrality gap; approximation algorithm;

D O I：

10.1142/S0217595922400085

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we propose a so-called capacitated min-max correlation clustering model, a natural variant of the min-max correlation clustering problem. As our main contribution, we present an integer programming and its integrality gap analysis for the proposed model. Furthermore, we provide two approximation algorithms for the model, one of which is a bi-criteria approximation algorithm and the other is based on LP-rounding technique.

引用

页数：13

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