發(fā)布時間：2018-02-05 19:28

  本文關鍵詞： 復雜網(wǎng)絡 DHC定理 有向含權H指數(shù) 節(jié)點排序 微博　出處：《電子科技大學學報》2017年05期 　論文類型：期刊論文

【摘要】：節(jié)點影響力排序是網(wǎng)絡科學研究領域的熱點問題,對該問題的研究極具理論意義與應用價值。最近有研究將原本用于衡量科學家科研影響力的H指數(shù),引入到復雜網(wǎng)絡中刻畫節(jié)點的影響力,并發(fā)現(xiàn)節(jié)點的度、H指數(shù)和核數(shù)的內(nèi)在聯(lián)系,稱為DHC定理。本文在原有研究基礎上提出了有向含權網(wǎng)絡上的H指數(shù),并證明了DHC定理在有向含權網(wǎng)絡中仍然成立。在此基礎上,本文比較了這些節(jié)點中心性指標在含權網(wǎng)絡上進行節(jié)點排序的準確性和分辨力,并考察了權重因素對排序準確性的影響。最后本文用含權有向網(wǎng)絡上的DHC定理深入分析了中國城市間微博轉發(fā)網(wǎng)絡,對中國城市的在線媒體影響力進行排名,并總結了信息在不同城市用戶之間的傳播模式。
[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.
【作者單位】： 杭州師范大學阿里巴巴復雜科學研究中心;蘇黎世聯(lián)邦理工學院;電子科技大學基礎與前沿研究院;
【基金】：國家自然科學基金(11622538,61673150) 浙江省自然科學基金(LR16A050001)
【分類號】：O157.5
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本文編號：1492565