Some features of the spread of epidemics and information on a random graph.

Durrett, Rick · Proc Natl Acad Sci U S A · 2010

other · Level V

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Abstract

Random graphs are useful models of social and technological networks. To date, most of the research in this area has concerned geometric properties of the graphs. Here we focus on processes taking place on the network. In particular we are interested in how their behavior on networks differs from that in homogeneously mixing populations or on regular lattices of the type commonly used in ecological models.

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