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最大独立集问题的算法研究综述

颜冬 王晓峰 锁小娜 胡思敏 宋家欢

计算机工程与应用2026,Vol.62Issue(15):66-86,21.
计算机工程与应用2026,Vol.62Issue(15):66-86,21.DOI:10.3778/j.issn.1002-8331.2510-0186

最大独立集问题的算法研究综述

Review of Algorithms for Maximum Independent Set Problems

颜冬 1王晓峰 2锁小娜 1胡思敏 1宋家欢1

作者信息

  • 1. 北方民族大学 计算机科学与工程学院,银川 750021
  • 2. 北方民族大学 计算机科学与工程学院,银川 750021||北方民族大学 图形图像智能处理国家民委重点实验室,银川 750021
  • 折叠

摘要

Abstract

The maximum independent set problem is a typical NP-hard combinatorial optimization problem,widely applied in fields such as wireless network design,social network analysis,resource allocation,and graph mining.Due to its high computational complexity,researchers have proposed various heuristic,intelligent optimization,and machine learning approaches to obtain high-quality approximate solutions for different graph structures and application requirements.Cen-tered on the development of MIS research,existing studies can be categorized into three main paradigms—heuristic algo-rithms,intelligent optimization algorithms,and machine learning based algorithms—which are systematically analyzed in terms of their underlying principles,improvement strategies,performance,and solution accuracy.The advantages and lim-itations of each approach are summarized,their applicability to different graph structures and scales is discussed,and future research trends and algorithm design directions are further explored.

关键词

最大独立集/智能优化算法/启发式算法

Key words

maximum independent set/intelligent optimization algorithm/heuristic algorithm

分类

信息技术与安全科学

引用本文复制引用

颜冬,王晓峰,锁小娜,胡思敏,宋家欢..最大独立集问题的算法研究综述[J].计算机工程与应用,2026,62(15):66-86,21.

基金项目

宁夏自然科学基金(2024AAC03165,2024AAC03169) (2024AAC03165,2024AAC03169)

宁夏青年拔尖人才项目(2021). (2021)

计算机工程与应用

1002-8331

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