Figure 1. A schematic representation of a subgraph
, whose
significance is to be assessed.
The subgraph 
is
embedded within a random graph generated by the configuration model. The
degrees of all vertices of the network are fixed, in the figure we have
highlighted the degrees of 
(
), of the
vertex 
at the
center of the analysis (
) and of
the rest of the graph 
(
). These
quantities are expressed as sums of contributions which are internal to
their own set of vertices (as 
) or
related to subgraph 
(in or
out). This notation is used in the distribution of Eq. 1.