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\myprogram{{overlap\_degree.py}}
{compute the total (overlapping) degree of all the nodes of
a multiplex and the corresponding Z-score. } {$<$layer1$>$ $<$layer2$>$ [$<$layer3$>$...]}
\mydescription{Compute and print on output the total degree $o_i$ of each
node $i$ of a multiplex, defined as:
\begin{equation*}
o_{i} = \sum_{\alpha}\sum_{j}a_{ij}\lay{\alpha}
\end{equation*}
\noindent and the corresponding Z-score:
\begin{equation*}
z(o_i) = \frac{o_i - \avg{o}}{\sigma_o}
\end{equation*}
\noindent where $\avg{o}$ and $\sigma_o$ are, respectively, the mean
and the standard deviation of the total degree computed over all the
active nodes of the multiplex.
Each input file contains the (undirected) edge list of a layer, and
each line is in the format:
\hspace{0.5cm}\textit{src\_ID} \textit{dest\_ID}
where \textit{src\_ID} and \textit{dest\_ID} are the IDs of the two
endpoints of an edge.}
\myreturn{The program prints on \texttt{stdout} a list of lines in the
format:
\hspace{0.5cm} \textit{ID\_n deg\_n z\_n}
where \textit{ID\_n} is the ID of the node, \textit{deg\_n} is its
total degree, and \textit{z\_n} is the corresponding Z-score.
\noindent As usual, node IDs start from zero and proceed
sequentially, without gaps, i.e., if a node ID is not present in any
of the layer files given as input, the program considers it as being
isolated on all the layers, and the node is omitted from the
output.}
\myreference{\refmetrics}
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