An Erdös-Rényi random graph is one chosen at random from all the graphs with a given number of nodes (
) and edges (
). The degree of a vertex in such a graph follows a Poisson distribution with mean
. The blue curve in the left plot is a continuous approximation of
, where
is the cumulative distribution function of a Poisson distribution with parameter
. The red dots show the fraction of nodes of a particular graph with degree
.
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