From a86962cbfd0321387c920a04188512d0de2f3036 Mon Sep 17 00:00:00 2001 From: KatolaZ Date: Mon, 19 Oct 2015 16:30:12 +0100 Subject: First commit of MAMMULT documentation --- .../latex/models/nullmodels/model_layer_growth.tex | 46 ++++++++++++++++++++++ 1 file changed, 46 insertions(+) create mode 100644 doc/latex/latex/models/nullmodels/model_layer_growth.tex (limited to 'doc/latex/latex/models/nullmodels/model_layer_growth.tex') diff --git a/doc/latex/latex/models/nullmodels/model_layer_growth.tex b/doc/latex/latex/models/nullmodels/model_layer_growth.tex new file mode 100644 index 0000000..9c0bb12 --- /dev/null +++ b/doc/latex/latex/models/nullmodels/model_layer_growth.tex @@ -0,0 +1,46 @@ +\myprogram{{model\_layer\_growth.py}} + {Layer growth with preferential activation model.} + {$<$layer\_N\_file$>$ $<$N$>$ $<$M0$>$ $<$A$>$ [RND]} + +\mydescription{This is the model of layer growth with preferential + node activation. In this model an entire new layer arrives + at time $t$ and a number of nodes $N_t$ is activated ($N\_t$ + is equal to the number of nodes active on that layer in the + reference multiplex). Then, each node $i$ of the new layer + is activated with a probability: + + \begin{equation*} + P_i(t) \propto A + B_i(t) + \end{equation*} + + where $B_i(t)$ is the activity of node $i$ at time $t$ + (i.e., the number of layers in which node $i$ is active at + time $t$) while $A>0$ is an intrinsic attractiveness. + + The file \textit{layer\_N\_file} reports on the n-th line + the number of active nodes on the n-th layer. + + The parameter \textit{N} is the number of nodes in the + multiplex, \textit{M0} is the number of layers in the + initial network, \textit{A} is the value of + node attractiveness. + + If the user specifies \texttt{RND} as the last parameter, + the sequence of layers is } + +\myreturn{The program prints on \texttt{stdout} a node-layer list of lines in the + format: + + \hspace{0.5cm} \textit{node\_i layer\_i} + + where \textit{node\_i} is the ID of a node and \textit{layre\_i} is + the ID of a layer. This list indicates which nodes are active in + which layer. For instance, the line: + + \hspace{0.5cm} \textit{24 3} + + indicates that the node with ID \textit{24} is active on + layer \textit{3}. +} + +\myreference{\refcorrelations} -- cgit v1.2.3