發(fā)布時(shí)間：2018-02-05 19:28

  本文關(guān)鍵詞： 復(fù)雜網(wǎng)絡(luò) DHC定理 有向含權(quán)H指數(shù) 節(jié)點(diǎn)排序 微博　出處：《電子科技大學(xué)學(xué)報(bào)》2017年05期 　論文類型：期刊論文

【摘要】：節(jié)點(diǎn)影響力排序是網(wǎng)絡(luò)科學(xué)研究領(lǐng)域的熱點(diǎn)問題,對該問題的研究極具理論意義與應(yīng)用價(jià)值。最近有研究將原本用于衡量科學(xué)家科研影響力的H指數(shù),引入到復(fù)雜網(wǎng)絡(luò)中刻畫節(jié)點(diǎn)的影響力,并發(fā)現(xiàn)節(jié)點(diǎn)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(chǔ)上提出了有向含權(quán)網(wǎng)絡(luò)上的H指數(shù),并證明了DHC定理在有向含權(quán)網(wǎng)絡(luò)中仍然成立。在此基礎(chǔ)上,本文比較了這些節(jié)點(diǎn)中心性指標(biāo)在含權(quán)網(wǎng)絡(luò)上進(jìn)行節(jié)點(diǎn)排序的準(zhǔn)確性和分辨力,并考察了權(quán)重因素對排序準(zhǔn)確性的影響。最后本文用含權(quán)有向網(wǎng)絡(luò)上的DHC定理深入分析了中國城市間微博轉(zhuǎn)發(fā)網(wǎng)絡(luò),對中國城市的在線媒體影響力進(jìn)行排名,并總結(jié)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(xué)阿里巴巴復(fù)雜科學(xué)研究中心;蘇黎世聯(lián)邦理工學(xué)院;電子科技大學(xué)基礎(chǔ)與前沿研究院;
【基金】：國家自然科學(xué)基金(11622538,61673150) 浙江省自然科學(xué)基金(LR16A050001)
【分類號】：O157.5
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本文編號：1492565