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<head><title>1.1.3.0 cartography_from_deg_vectors.py</title>
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<h5 class="subsubsectionHead"><a
id="x21-200001.1.3"></a><span
class="cmtt-10x-x-109">cartography</span><span
class="cmtt-10x-x-109">_from</span><span
class="cmtt-10x-x-109">_deg</span><span
class="cmtt-10x-x-109">_vectors.py</span></h5>
<!--l. 3--><p class="noindent" ><span
class="cmbx-10x-x-109">NAME</span>
<!--l. 3--><p class="indent" > <span
class="cmbx-10x-x-109">cartography</span><span
class="cmbx-10x-x-109">_from</span><span
class="cmbx-10x-x-109">_deg</span><span
class="cmbx-10x-x-109">_vectors.py </span>- create a multiplex cartography
diagram.
<!--l. 3--><p class="noindent" ><span
class="cmbx-10x-x-109">SYNOPSYS</span>
<!--l. 3--><p class="indent" > <span
class="cmbx-10x-x-109">cartography</span><span
class="cmbx-10x-x-109">_from</span><span
class="cmbx-10x-x-109">_deg</span><span
class="cmbx-10x-x-109">_vectors.py </span><span
class="cmmi-10x-x-109"><</span><span
class="cmitt-10x-x-109">node</span><span
class="cmitt-10x-x-109">_deg</span><span
class="cmitt-10x-x-109">_vectors</span><span
class="cmmi-10x-x-109">></span>
<!--l. 14--><p class="noindent" ><span
class="cmbx-10x-x-109">DESCRIPTION</span>
<!--l. 14--><p class="indent" > Compute and print on output the total degree and the multiplex
participation coefficient of all the nodes of a multiplex network whose
list of node degree vectors is provided as input. The input file is in the
format:
<!--l. 14--><p class="indent" >   <span
class="cmti-10x-x-109">IDn</span><span
class="cmti-10x-x-109">_deg1 IDn</span><span
class="cmti-10x-x-109">_deg</span><span
class="cmti-10x-x-109">_2 ... IDn</span><span
class="cmti-10x-x-109">_degM</span>
<!--l. 14--><p class="noindent" >where <span
class="cmti-10x-x-109">IDn</span><span
class="cmti-10x-x-109">_degX </span>is the degree of node <span
class="cmmi-10x-x-109">n </span>at layer <span
class="cmmi-10x-x-109">X</span>. The input file can be
generated using the script <span
class="cmtt-10x-x-109">node</span><span
class="cmtt-10x-x-109">_degree</span><span
class="cmtt-10x-x-109">_vectors.py</span>.
<!--l. 30--><p class="noindent" ><span
class="cmbx-10x-x-109">OUTPUT</span>
<!--l. 30--><p class="indent" > The program prints on <span
class="cmtt-10x-x-109">stdout </span>a list of lines in the format:
<!--l. 30--><p class="indent" >   <span
class="cmti-10x-x-109">tot</span><span
class="cmti-10x-x-109">_deg part</span><span
class="cmti-10x-x-109">_coeff</span>
<!--l. 30--><p class="noindent" >where <span
class="cmti-10x-x-109">tot</span><span
class="cmti-10x-x-109">_deg </span>is the total degree of the node and <span
class="cmti-10x-x-109">part</span><span
class="cmti-10x-x-109">_coeff </span>is the corresponding
participation coefficient.
<!--l. 30--><p class="noindent" >As usual, node IDs start from zero and proceed sequentially, without gaps,
so if one of the lines in the input files contains just zeros, the program
considers the corresponding node as being isolated on all the layers, and both
its total degree and multiplex participation coefficient are set equal to
zero.
<!--l. 32--><p class="noindent" ><span
class="cmbx-10x-x-109">REFERENCE</span>
<!--l. 32--><p class="indent" > F. Battiston, V. Nicosia, V. Latora, “Structural measures for multiplex
networks”, <span
class="cmti-10x-x-109">Phys. Rev. E </span><span
class="cmbx-10x-x-109">89</span>, 032804 (2014).
<!--l. 32--><p class="indent" > Link to paper: <a
href="http://journals.aps.org/pre/abstract/10.1103/PhysRevE.89.032804" class="url" ><span
class="cmtt-10x-x-109">http://journals.aps.org/pre/abstract/10.1103/PhysRevE.89.032804</span></a>
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