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多层网络中节点相似性的度量

Measure of Node Similarity in Multilayer Networks.

作者信息

Mollgaard Anders, Zettler Ingo, Dammeyer Jesper, Jensen Mogens H, Lehmann Sune, Mathiesen Joachim

机构信息

University of Copenhagen, Niels Bohr Institute, 2100 Copenhagen, Denmark.

University of Copenhagen, Department of Psychology, 1353 Copenhagen, Denmark.

出版信息

PLoS One. 2016 Jun 14;11(6):e0157436. doi: 10.1371/journal.pone.0157436. eCollection 2016.

DOI:10.1371/journal.pone.0157436
PMID:27300084
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC4907436/
Abstract

The weight of links in a network is often related to the similarity of the nodes. Here, we introduce a simple tunable measure for analysing the similarity of nodes across different link weights. In particular, we use the measure to analyze homophily in a group of 659 freshman students at a large university. Our analysis is based on data obtained using smartphones equipped with custom data collection software, complemented by questionnaire-based data. The network of social contacts is represented as a weighted multilayer network constructed from different channels of telecommunication as well as data on face-to-face contacts. We find that even strongly connected individuals are not more similar with respect to basic personality traits than randomly chosen pairs of individuals. In contrast, several socio-demographics variables have a significant degree of similarity. We further observe that similarity might be present in one layer of the multilayer network and simultaneously be absent in the other layers. For a variable such as gender, our measure reveals a transition from similarity between nodes connected with links of relatively low weight to dis-similarity for the nodes connected by the strongest links. We finally analyze the overlap between layers in the network for different levels of acquaintanceships.

摘要

网络中链接的权重通常与节点的相似度相关。在此,我们引入一种简单的可调测度,用于分析不同链接权重下节点的相似度。具体而言,我们使用该测度分析一所大型大学中659名新生群体中的同质性。我们的分析基于使用配备定制数据收集软件的智能手机获取的数据,并辅以基于问卷的数据。社交联系网络表示为一个加权多层网络,它由不同的电信渠道以及面对面接触的数据构建而成。我们发现,即使是联系紧密的个体,在基本人格特质方面也并不比随机选择的个体对更相似。相比之下,几个社会人口统计学变量具有显著程度的相似性。我们进一步观察到,相似度可能在多层网络的一层中存在,而在其他层中同时不存在。对于性别这样的变量,我们的测度揭示了从通过权重相对较低的链接连接的节点之间的相似性到由最强链接连接的节点之间的不相似性的转变。我们最后分析了网络中不同熟悉程度层次下各层之间的重叠情况。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b7b2/4907436/cfeee7d6d0e4/pone.0157436.g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b7b2/4907436/81a99780fd11/pone.0157436.g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b7b2/4907436/09ccb38bdee6/pone.0157436.g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b7b2/4907436/d7035d9abc67/pone.0157436.g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b7b2/4907436/cfeee7d6d0e4/pone.0157436.g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b7b2/4907436/81a99780fd11/pone.0157436.g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b7b2/4907436/09ccb38bdee6/pone.0157436.g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b7b2/4907436/d7035d9abc67/pone.0157436.g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b7b2/4907436/cfeee7d6d0e4/pone.0157436.g004.jpg

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