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徐丽丽, 董一鸿, 王雄, 陈华辉, 钱江波. 基于K-sup稠密子图的大规模复杂网络概要算法及可视化[J]. 计算机辅助设计与图形学学报, 2019, 31(3): 400-411. DOI: 10.3724/SP.J.1089.2019.17178
引用本文: 徐丽丽, 董一鸿, 王雄, 陈华辉, 钱江波. 基于K-sup稠密子图的大规模复杂网络概要算法及可视化[J]. 计算机辅助设计与图形学学报, 2019, 31(3): 400-411. DOI: 10.3724/SP.J.1089.2019.17178
Xu Lili, Dong Yihong, Wang Xiong, Chen Huahui, Qian Jiangbo. Large Scale Complex Network Summary Algorithm and Visualization Based on K-sup Density Subgraph[J]. Journal of Computer-Aided Design & Computer Graphics, 2019, 31(3): 400-411. DOI: 10.3724/SP.J.1089.2019.17178
Citation: Xu Lili, Dong Yihong, Wang Xiong, Chen Huahui, Qian Jiangbo. Large Scale Complex Network Summary Algorithm and Visualization Based on K-sup Density Subgraph[J]. Journal of Computer-Aided Design & Computer Graphics, 2019, 31(3): 400-411. DOI: 10.3724/SP.J.1089.2019.17178

基于K-sup稠密子图的大规模复杂网络概要算法及可视化

Large Scale Complex Network Summary Algorithm and Visualization Based on K-sup Density Subgraph

  • 摘要: 现实社会存在大量复杂网络,随着大数据时代的来临,复杂网络数据规模不断扩大,难以进行算法分析和可视化展示.针对复杂网络小世界、无标度特性,提出基于K-sup稠密子图的复杂网络概要算法,利用三角形在网络中的同质性和传递性发现复杂网络中的稠密子图,结合模块度最大化,将子图中相似的节点归并为超点;运用分层结构存储概要图,并进行可视化显示.该算法能对大规模复杂网络进行有效压缩,保持原网络的性质.在5个真实数据集上进行对比实验,显示出该算法在压缩率、幂率性和平均聚类系数的保持等指标优于已有算法,同时在大规模数据下具有保持网络拓扑结构且支持概要图分层可视化的优点.

     

    Abstract: There are a large number of complex networks in the real world.With the advent of the era of big data,the scale of complex network data is constantly expanding.It is difficult to analyze and visualize them.In this paper,a complex network summary algorithm based on K-sup dense subgraphs was proposed for complex networks with small-world and scale-free features.Using the homogeneity and transitivity of triangles in the network,this algorithm found the dense subgraphs in complex networks by combining the modularity maximization structure.The similar nodes in subgraphs were merged into super points.Hierarchical graphs were stored and visually displayed.As a result,the algorithm can compress large-scale complex networks effectively and keep the properties of the original network.In five real data sets,the experimental results show that the proposed algorithm is superior to the existing algorithms in terms of compression ratio,power rate and average clustering coefficient.At the same time,it also has the advantages of maintaining network topology and supporting hierarchical visualization of summary graphs in large-scale data.

     

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