Metrics and Models for Multi-layer Networks
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<h5 class="subsubsectionHead"><a
id="x37-360001.2.3"></a><span
class="cmtt-10x-x-109">dump</span><span
class="cmtt-10x-x-109">_k</span><span
class="cmtt-10x-x-109">_q</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">dump</span><span
class="cmbx-10x-x-109">_k</span><span
class="cmbx-10x-x-109">_q </span>- compute the degree sequences of two layers of a multiplex.
<!--l. 3--><p class="noindent" ><span
class="cmbx-10x-x-109">SYNOPSYS</span>
<!--l. 3--><p class="indent" > <span
class="cmbx-10x-x-109">dump</span><span
class="cmbx-10x-x-109">_k</span><span
class="cmbx-10x-x-109">_q </span><span
class="cmmi-10x-x-109">&#x003C;</span><span
class="cmitt-10x-x-109">layer1</span><span
class="cmmi-10x-x-109">&#x003E; &#x003C;</span><span
class="cmitt-10x-x-109">layer2</span><span
class="cmmi-10x-x-109">&#x003E; &#x003C;</span><span
class="cmitt-10x-x-109">pairing</span><span
class="cmmi-10x-x-109">&#x003E;</span>
<!--l. 26--><p class="noindent" ><span
class="cmbx-10x-x-109">DESCRIPTION</span>
<!--l. 26--><p class="indent" > Compute and dump on <span
class="cmtt-10x-x-109">stdout </span>the degree sequences of two layers of a
multiplex. The input files <span
class="cmti-10x-x-109">layer1 </span>and <span
class="cmti-10x-x-109">layer2 </span>contain the (undirected) edge lists of
the two layers, and each line is in the format:
<!--l. 26--><p class="indent" > &#x00A0; <span
class="cmti-10x-x-109">src</span><span
class="cmti-10x-x-109">_ID dest</span><span
class="cmti-10x-x-109">_ID</span>
<!--l. 26--><p class="indent" > where <span
class="cmti-10x-x-109">src</span><span
class="cmti-10x-x-109">_ID </span>and <span
class="cmti-10x-x-109">dest</span><span
class="cmti-10x-x-109">_ID </span>are the IDs of the two endpoints of an
edge.
<!--l. 26--><p class="indent" > The third file <span
class="cmti-10x-x-109">pairing </span>is a list of lines in the format:
<!--l. 26--><p class="indent" > &#x00A0; <span
class="cmti-10x-x-109">IDL1 IDL2</span>
<!--l. 26--><p class="indent" > where <span
class="cmti-10x-x-109">IDL1 </span>is the ID of a node on layer 1 and <span
class="cmti-10x-x-109">IDL2 </span>is the ID of the same
node on layer 2. For instance, the line:
<!--l. 26--><p class="indent" > &#x00A0; <span
class="cmti-10x-x-109">5 27</span>
<!--l. 26--><p class="indent" > indicates that node 5 on layer 1 has ID 27 on layer 2.
<!--l. 35--><p class="noindent" ><span
class="cmbx-10x-x-109">OUTPUT</span>
<!--l. 35--><p class="indent" > The program prints on <span
class="cmtt-10x-x-109">stdout </span>the degree of each node on the two layers, in
the format:
<!--l. 35--><p class="indent" > &#x00A0; <span
class="cmti-10x-x-109">ki qi</span>
<!--l. 35--><p class="indent" > where <span
class="cmti-10x-x-109">ki </span>is the degree of node <span
class="cmti-10x-x-109">i </span>on layer 1 and <span
class="cmti-10x-x-109">qi </span>is the degree of node <span
class="cmti-10x-x-109">i </span>on
layer 2.
<!--l. 42--><p class="noindent" ><span
class="cmbx-10x-x-109">REFERENCE</span>
<!--l. 42--><p class="indent" > V. Nicosia, V. Latora, &#8220;Measuring and modeling correlations in multiplex
networks&#8221;, <span
class="cmti-10x-x-109">Phys. Rev. E </span><span
class="cmbx-10x-x-109">92</span>, 032805 (2015).
<!--l. 42--><p class="indent" > Link to paper: <a
href="http://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.032805" class="url" ><span
class="cmtt-10x-x-109">http://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.032805</span></a>
<!--l. 42--><p class="indent" > V. Nicosia, G. Bianconi, V. Latora, M. Barthelemy, &#8220;Growing multiplex
networks&#8221;, <span
class="cmti-10x-x-109">Phys. Rev. Lett. </span><span
class="cmbx-10x-x-109">111</span>, 058701 (2013).
<!--l. 42--><p class="indent" > Link to paper: <a
href="http://prl.aps.org/abstract/PRL/v111/i5/e058701" class="url" ><span
class="cmtt-10x-x-109">http://prl.aps.org/abstract/PRL/v111/i5/e058701</span></a>
<!--l. 42--><p class="indent" > V. Nicosia, G. Bianconi, V. Latora, M. Barthelemy, &#8220;Non-linear growth and
condensation in multiplex networks&#8221;, <span
class="cmti-10x-x-109">Phys. Rev. E </span><span
class="cmbx-10x-x-109">90</span>, 042807 (2014).
<!--l. 42--><p class="indent" > Link to paper: <a
href="http://journals.aps.org/pre/abstract/10.1103/PhysRevE.90.042807" class="url" ><span
class="cmtt-10x-x-109">http://journals.aps.org/pre/abstract/10.1103/PhysRevE.90.042807</span></a>
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