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\myprogram{{nibilab\_nonlinear}}
{Multiplex non-linear preferential attachment model --
Synchronous arrival.}
{$<$N$>$ $<$m$>$ $<$m0$>$ $<$outfile$>$ $<$alpha$>$ $<$beta$>$}
\mydescription{Grow a two-layer multiplex network using the multiplex non-linear
preferential attachment model by Nicosia, Bianconi, Latora,
Barthelemy (NiBiLaB).
The probability for a newly arrived node $i$ to create a
link to node $j$ on layer $1$ is:
\begin{equation*}
\Pi_{i\to j}^{1} \propto \frac{\left(k\lay{1}_j\right)^{\alpha}}
{\left(k\lay{2}_j\right)^{\beta}}
\end{equation*}
and the dual probability for $i$ to create a link to $j$ on
layer $2$ is:
\begin{equation*}
\Pi_{i\to j}^{2} \propto \frac{\left(k\lay{2}_j\right)^{\alpha}}
{\left(k\lay{1}_j\right)^{\beta}}
\end{equation*}
Each node arrives simultaneously on both layers.
The (mandatory) parameters are as follows:
\begin{itemize}
\item \textbf{N} number of nodes in the final graph
\item \textbf{m} number of new edges brought by each new node
\item \textbf{m0} number of nodes in the initial seed
graph. \textit{m0} must be larger than of equal
to \textit{m}.
\item \textbf{outfile} the name of the file which will contain the
\item \textbf{alpha, beta} exponents of of the attaching probability
function
\end{itemize}
}
\myreturn{The program dumps on the file \texttt{outfile} the
(undirected) edge list of the resulting network. Each line of the
file 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.
}
\myreference{\refgrowth}
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