DHC定理在有向含权网络上的推广及应用

发布时间：2018-02-05 19:28

  本文关键词： 复杂网络 DHC定理 有向含权H指数 节点排序 微博　出处：《电子科技大学学报》2017年05期 　论文类型：期刊论文

【摘要】：节点影响力排序是网络科学研究领域的热点问题,对该问题的研究极具理论意义与应用价值。最近有研究将原本用于衡量科学家科研影响力的H指数,引入到复杂网络中刻画节点的影响力,并发现节点的度、H指数和核数的内在联系,称为DHC定理。本文在原有研究基础上提出了有向含权网络上的H指数,并证明了DHC定理在有向含权网络中仍然成立。在此基础上,本文比较了这些节点中心性指标在含权网络上进行节点排序的准确性和分辨力,并考察了权重因素对排序准确性的影响。最后本文用含权有向网络上的DHC定理深入分析了中国城市间微博转发网络,对中国城市的在线媒体影响力进行排名,并总结了信息在不同城市用户之间的传播模式。
[Abstract]:The ranking of node influence is a hot issue in the field of network science, and the research on this problem is of great theoretical significance and practical value. Recently, some research has been used to measure the impact of scientists'H index. It is called DHC theorem to describe the influence of nodes in complex networks, and find the intrinsic relation between the degree H exponent and kernel number of nodes. In this paper, the H exponent on directed weighted networks is proposed on the basis of the original research. It is proved that the DHC theorem still holds in the directed weighted network. On this basis, this paper compares the accuracy and resolution of these node-centric indexes in the ranking of nodes on the weighted network. Finally, the DHC theorem of weighted directed network is used to analyze the Weibo forwarding network between cities in China. The online media influence of Chinese cities is ranked and the modes of information dissemination among different urban users are summarized.
【作者单位】： 杭州师范大学阿里巴巴复杂科学研究中心;苏黎世联邦理工学院;电子科技大学基础与前沿研究院;
【基金】：国家自然科学基金(11622538,61673150) 浙江省自然科学基金(LR16A050001)
【分类号】：O157.5
，

本文编号：1492565