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Nature Research, Scientific Reports, 1(11), 2021

DOI: 10.1038/s41598-021-85175-9

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Characterizing dissimilarity of weighted networks

Journal article published in 2021 by Yuanxiang Jiang, Meng Li, Ying Fan, Zengru Di
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

AbstractMeasuring the dissimilarities between networks is a basic problem and wildly used in many fields. Based on method of the D-measure which is suggested for unweighted networks, we propose a quantitative dissimilarity metric of weighted network (WD-metric). Crucially, we construct a distance probability matrix of weighted network, which can capture the comprehensive information of weighted network. Moreover, we define the complementary graph and alpha centrality of weighted network. Correspondingly, several synthetic and real-world networks are used to verify the effectiveness of the WD-metric. Experimental results show that WD-metric can effectively capture the influence of weight on the network structure and quantitatively measure the dissimilarity of weighted networks. It can also be used as a criterion for backbone extraction algorithms of complex network.