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• W1700158983 abstract "The study of triangles in graphs is a standard tool in network analysis, leading to measures such as the emph{transitivity}, i.e., the fraction of paths of length $2$ that participate in triangles. Real-world networks are often directed, and it can be difficult to measure this network structure meaningfully. We propose a collection of emph{directed closure values} for measuring triangles in directed graphs in a way that is analogous to transitivity in an undirected graph. Our study of these values reveals much information about directed triadic closure. For instance, we immediately see that reciprocal edges have a high propensity to participate in triangles. We also observe striking similarities between the triadic closure patterns of different web and social networks. We perform mathematical and empirical analysis showing that directed configuration models that preserve reciprocity cannot capture the triadic closure patterns of real networks." @default.
• W1700158983 created "2016-06-24" @default.
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• W1700158983 date "2013-02-25" @default.
• W1700158983 modified "2023-10-15" @default.
• W1700158983 title "Directed closure measures for networks with reciprocity" @default.
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• W1700158983 doi "https://doi.org/10.48550/arxiv.1302.6220" @default.
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