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复杂系统与复杂性科学  2014, Vol. 11 Issue (1): 77-86    DOI: 10.13306/j.1672-3813.2014.01.010
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基于自然连通度的复杂网络抗毁性分析
吴俊, 谭索怡, 谭跃进, 邓宏钟
国防科技大学信息系统与管理学院,长沙 410073
Analysis of Invulnerability in Complex Networks Based on Natural Connectivity
WU Jun, TAN Suo-yi, TAN Yue-Jin, DENG Hong-Zhong
College of Information System and Management, National University of Defense Technology, Changsha 410073, China
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摘要 以自然连通度为抗毁性谱测度指标,详细分析了度分布、小世界性、度关联性3种典型复杂网络结构属性对复杂网络抗毁性的影响:通过混合择优模型构造不同度分布复杂网络,研究了度分布对抗毁性的影响,研究表明在相同条件下,度分布越不均匀抗毁性越强;从规则环状格子出发,通过保度随机重连和自由随机重连研究了小世界性对抗毁性的影响,研究表明复杂网络拓扑结构的抗毁性与小世界性并不存在必然的相关性;通过保度同配重连和保度异配重连研究了度关联性对抗毁性的影响,研究表明同配网络比异配网络的抗毁性更强。
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吴俊
谭索怡
谭跃进
邓宏钟
关键词 复杂网络抗毁性自然连通度特征谱    
Abstract:The effects of three typical structural properties on invulnerability of complex network topologies are investigated based on the natural connectivity. The effect of degree distribution on invulnerability of complex network topologies is studied by generating complex networks with various degree distributions using mixing preferential attachment model. It is shown that, with the same condition, the more heterogeneous the degree distribution is, the better the invulnerability is. The effect of small-world property on invulnerability of complex network topologies is studied by degree-preserve rewirings and freedom rewirings from regular ring lattices, respectively. It is shown that there is no certain correlation between small-world property and invulnerability. The effect of degree correlation on invulnerability of complex network topologies is studied by degree-preserve-assortativerewirings and degree-preserve-disassortativerewirings, respectively. It is shown that assortative networks are more invulnerable than disassortative networks.
Key wordscomplex networks    invulnerability    natural connectivity    graph spectrum
收稿日期: 2013-09-22      出版日期: 2026-06-22
基金资助:国家自然科学基金(60904065, 71031007, 71371185);新世纪优秀人才支持计划 (NCET-12-0141)
作者简介: 吴俊(1977-),男,湖北荆门人,博士,副教授,主要研究方向为复杂系统与复杂网络。
引用本文:   
吴俊, 谭索怡, 谭跃进, 邓宏钟. 基于自然连通度的复杂网络抗毁性分析[J]. 复杂系统与复杂性科学, 2014, 11(1): 77-86.
WU Jun, TAN Suo-yi, TAN Yue-Jin, DENG Hong-Zhong. Analysis of Invulnerability in Complex Networks Based on Natural Connectivity[J]. Complex Systems and Complexity Science, 2014, 11(1): 77-86.
链接本文:  
https://fzkx.qdu.edu.cn/CN/10.13306/j.1672-3813.2014.01.010      或      https://fzkx.qdu.edu.cn/CN/Y2014/V11/I1/77
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