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The "Cameo Principle" and the Origin of Scale-Free Graphs in Social Networks

Ph. Blanchard·T. Krueger
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Abstract

We formulate a simple edge generation rule based on an inverse like mass action principle for random graphs over a structured vertex set. We show that under very weak assumptions on the structure generating distribution we obtain a scale free distribution for the degree. We furthermore introduce and study a "my friends are your friends" local search principle which makes the clustering coefficient large.

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Ph. Blanchard, T. Krueger. 2003-10-21. The "Cameo Principle" and the Origin of Scale-Free Graphs in Social Networks. https://doi.org/10.1023/b%3Ajoss.0000013969.87579.39

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