Social leaders in graphs

Blondel, Vincent;de Kerchove D'Exaerde, Cristobald;Huens, Etienne;Van Dooren, Paul
(2006) 2nd Multidisciplinary International Symposium on Positive Systems (POSTA 2006) — Location: Grenoble(France) (30.August.2006)

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Abstract
We introduce the definition of Social Leader that gives a local centrality measure for each node in a graph. A node a is a Social Leader if the number of cycles of length 3 passing through u is greater than the corresponding number for its neighbors. This concept is used to visualize large graphs, identify influent agents in social networks (word of mouth effect) and find communities.
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Blondel, V., de Kerchove D’Exaerde, C., Huens, E., & Van Dooren, P. (2006). Social leaders in graphs. Lecture Notes in Control and Information Sciences, 341, 231-237. https://doi.org/10.1007/3-540-34774-7_30 (Original work published 2006)