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arXiv physics/0609218physics.soc-ph
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权重对网络社团结构的影响

The Role of Weight on Community Structure of Networks

Ying Fan, Menghui Li, Peng Zhang, Jinshan Wu, Zengru Di

摘要:

通过研究权重对社团结构的影响,研究了权重在加权网络中的作用。我们使用加权模块度$Q^w$来评估划分,并使用加权极值优化算法来检测社区。从理想化和经验加权网络出发,权值和边之间的分布或匹配受到干扰。利用相异度函数$D$来区分不同的社团结构,发现权重的重新分配对社团结构有很大的影响,尤其是在稠密网络中。这表明网络中的社团结构是一个合适的属性来反映权重的作用。

英文摘要:

The role of weight on the weighted networks is investigated by studying the effect of weight on community structures. We use weighted modularity $Q^w$ to evaluate the partitions and Weighted Extremal Optimization algorithm to detect communities. Starting from idealized and empirical weighted networks, the distribution or matching between weights and edges are disturbed. Using dissimilarity function $D$ to distinguish the difference between community structures, it is found that the redistribution of weights does strongly affect the community structure especially in dense networks. This indicates that the community structure in networks is a suitable property to reflect the role of weight.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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