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101 lines
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<h5 class="subsubsectionHead"><a
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id="x10-90001.1.1"></a><span
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class="cmtt-10x-x-109">multiplexity.py</span></h5>
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<!--l. 4--><p class="noindent" ><span
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class="cmbx-10x-x-109">NAME</span>
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<!--l. 4--><p class="indent" > <span
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class="cmbx-10x-x-109">multiplexity.py </span>- compute the pairwise multiplexity between all the pairs of
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layers of a multiplex.
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<!--l. 4--><p class="noindent" ><span
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class="cmbx-10x-x-109">SYNOPSYS</span>
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<!--l. 4--><p class="indent" > <span
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class="cmbx-10x-x-109">multiplexity.py </span><span
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class="cmmi-10x-x-109"><</span><span
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class="cmitt-10x-x-109">layer1</span><span
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class="cmmi-10x-x-109">> <</span><span
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class="cmitt-10x-x-109">layer2</span><span
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class="cmmi-10x-x-109">> </span><span
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class="cmitt-10x-x-109">[</span><span
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class="cmmi-10x-x-109"><</span><span
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class="cmitt-10x-x-109">layer3</span><span
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class="cmmi-10x-x-109">></span><span
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class="cmitt-10x-x-109">...]</span>
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<!--l. 17--><p class="noindent" ><span
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class="cmbx-10x-x-109">DESCRIPTION</span>
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<!--l. 17--><p class="indent" > Compute and print on output the pairwise multiplexity <span
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class="cmmi-10x-x-109">Q</span><sub><span
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class="cmmi-8">α,β</span></sub> (i.e., the
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fraction of nodes active on both layers) between all pairs of layers. The layers are
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given as input in the files <span
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class="cmti-10x-x-109">layer1</span>, <span
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class="cmti-10x-x-109">layer2</span>, etc.
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<!--l. 17--><p class="indent" > Each input file contains the (undirected) edge list of a layer, and each line is
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in the format:
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<!--l. 17--><p class="indent" >   <span
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class="cmti-10x-x-109">src</span><span
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class="cmti-10x-x-109">_ID dest</span><span
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class="cmti-10x-x-109">_ID</span>
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<!--l. 17--><p class="indent" > where <span
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class="cmti-10x-x-109">src</span><span
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class="cmti-10x-x-109">_ID </span>and <span
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class="cmti-10x-x-109">dest</span><span
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class="cmti-10x-x-109">_ID </span>are the IDs of the two endpoints of an
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edge.
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<!--l. 28--><p class="noindent" ><span
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class="cmbx-10x-x-109">OUTPUT</span>
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<!--l. 28--><p class="indent" > The program prints on <span
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class="cmtt-10x-x-109">stdout </span>a list of lines, in the format:
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<!--l. 28--><p class="indent" >   <span
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class="cmti-10x-x-109">layer1 layer2 mult</span>
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<!--l. 28--><p class="noindent" >where <span
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class="cmti-10x-x-109">layer1 </span>and <span
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class="cmti-10x-x-109">layer2 </span>are the IDs of the layers, and <span
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class="cmti-10x-x-109">mult </span>is the value of the
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multiplexity <span
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class="cmmi-10x-x-109">Q</span><sub><span
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class="cmmi-8">layer</span><span
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class="cmr-8">1</span><span
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class="cmmi-8">,layer</span><span
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class="cmr-8">2</span></sub>. Layers IDs start from zero, are are associated to the
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layers in the same order in which the layer files are provided on the command
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line.
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<!--l. 30--><p class="noindent" ><span
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class="cmbx-10x-x-109">REFERENCE</span>
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<!--l. 30--><p class="indent" > V. Nicosia, V. Latora, “Measuring and modeling correlations in multiplex
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networks”, <span
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class="cmti-10x-x-109">Phys. Rev. E </span><span
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class="cmbx-10x-x-109">92</span>, 032805 (2015).
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<!--l. 30--><p class="indent" > Link to paper: <a
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href="http://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.032805" class="url" ><span
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class="cmtt-10x-x-109">http://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.032805</span></a>
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