Models for the Compressible Web.

Graphs resulting from human behavior (the web graph, friendship graphs, etc.) have hitherto been viewed as a monolithic class of graphs with similar characteristics; for instance, their degree distributions are markedly heavy-tailed. In this paper we take our understanding of behavioral graphs a step further by showing that an intriguing empirical property of web graphs — their compressibility — cannot be exhibited by well-known graph models for the web and for social networks. We then develop a more nuanced model for web graphs and show that it does exhibit compressibility, in addition to previously modeled web graph properties.