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马海瑛1,2,3 肖玉芝1,2,3 赵海兴1,2,3
吴欢1 罗海秀1,2,3
1.青海师范大学计算机学院；
2.青海省藏文信息处理与机器翻译重点实验室；
摘要: 为了揭示多层复杂网络的特性,提出和建立了3种三层复杂网络演化模型,并定义了随机概率定量刻画多层网络层间依赖关系。实验结果表明:不同随机概率表征出三层网络具有单峰、双峰以及三峰等特性的网络度分布,随机概率趋于10-3时,三层无标度网络呈现出幂律和单峰共现特性;随机概率对三层网络的聚类系数和平均路径长度影响相对较小。
基金资助:国家自然科学基金(61763041,11661069)； 青海省科技厅项目(2020-GX-112)![]()
Three-Layer Complex Network Model Construction and Characteristic AnalysisMA Haiying1,2,3 XIAO Yuzhi1,2,3 ZHAO Haixing1,2,3 WU Huan1 LUO Haixiu1,2,31. Computer Department, Qinghai Normal University;
2. Tibetan Information Processing and Machin Translation Key Laboratory of Qinghai Province;
3. Key Laboratory of Tibetan information Processing, Ministry of EducationAbstract：In order to reveal the characteristics of multilayer complex networks, three kinds of evolution models of three-layer complex networks are proposed, and a probability is defined to quantitatively describe the interlayer dependence of multilayer networks. The experimental results show that different random probabilities represent the degree distribution of three-layer networks with the characteristics of single peak, double peak and three peak. When the probabilities tends to 10-3, the three-layer scale free networks show the characteristics of power law and single peak co-occurrence; the influence of probability on the clustering coefficient and average path length of three-layer networks is relatively small.Keywords: multilayer network;
hierarchical connection; bimodal characteristic; three peaks第一作者：马海瑛（1994-），女，青海大通人，硕士研究生，主要研究方向为复杂网络、多层网络理论与应用。引用本文:
马海瑛, 肖玉芝, 赵海兴, 吴欢, 罗海秀. 三层复杂网络模型构建及特性分析[J]. 复杂系统与复杂性科学, 2020, 17(4): 16-29.
MA Haiying, XIAO Yuzhi, ZHAO Haixing, WU Huan, LUO Haixiu. Three-Layer Complex Network Model Construction and Characteristic Analysis[J]. Complex Systems and Complexity Science, 2020, 17(4): 16-29.
