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arXiv 2201.07502physics.soc-phcond-mat.dis-nn
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加权有向网络中的混合

Assortative Mixing in Weighted Directed Networks

Uta Pigorsch, Marc Sabek

摘要:

一个网络的连接性是指节点之间基于相似性(通常是多余的节点度)而相互连接的趋势。在本文中,我们考虑加权网络,有向和无向的重传性。为此,我们建议考虑多余的顶点强度,而不是多余的程度,并显示,加权网络中的非线性可以分解为两种机制,我们称之为连接效应和放大效应。为了捕捉这些影响,我们引入了广义的折射率系数。这个新系数允许更详细的解释和评估加权网络中的重复性。此外,我们提出了一个程序,以评估统计意义的重叠性,引导和重新布线技术。我们提出的广义反导系数的有用性证明了几个加权现实世界的网络的反导结构的深入分析。

英文摘要:

A network's assortativity is the tendency of vertices to bond with others based on similarities, usually excess vertex degree. In this paper we consider assortativity in weighted networks, both directed and undirected. To this end, we propose to consider excess vertex strength, rather than excess degree, and show, that assortativity in weighted networks can be broken down into two mechanisms, which we refer to as the connection effect and the amplification effect. To capture these effects we introduce a generalised assortativity coefficient. This new coefficient allows for a more detailed interpretation and assessment of assortativity in weighted networks. Furthermore, we propose a procedure to assess the statistical significance of assortativity using jackknife, bootstrap and rewiring techniques. The usefulness of our proposed generalised assortativity coefficient is demonstrated by an in-depth analysis of the assortativity structure of several weighted real-world networks.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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