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+ <h5 class="subsubsectionHead"><a
+ id="x34-330001.2.2"></a><span
+class="cmtt-10x-x-109">compute</span><span
+class="cmtt-10x-x-109">_tau.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">compute</span><span
+class="cmbx-10x-x-109">_tau.py </span>- compute the Kendall&#8217;s rank correlation coefficient <span
+class="cmmi-10x-x-109">&tau;</span><sub><span
+class="cmmi-8">b</span></sub>
+between two rankings.
+<!--l. 3--><p class="noindent" ><span
+class="cmbx-10x-x-109">SYNOPSYS</span>
+<!--l. 3--><p class="indent" > <span
+class="cmbx-10x-x-109">compute</span><span
+class="cmbx-10x-x-109">_tau.py </span><span
+class="cmmi-10x-x-109">&#x003C;</span><span
+class="cmitt-10x-x-109">file1</span><span
+class="cmmi-10x-x-109">&#x003E; &#x003C;</span><span
+class="cmitt-10x-x-109">file2</span><span
+class="cmmi-10x-x-109">&#x003E;</span>
+<!--l. 19--><p class="noindent" ><span
+class="cmbx-10x-x-109">DESCRIPTION</span>
+<!--l. 19--><p class="indent" > Compute the Kendall&#8217;s rank correlation coefficient <span
+class="cmmi-10x-x-109">&tau;</span><sub><span
+class="cmmi-8">b</span></sub> between two rankings
+provided in the input files <span
+class="cmti-10x-x-109">file1 </span>and <span
+class="cmti-10x-x-109">file2</span>. Each input file contains a list of lines,
+where the n-th line contains the value of rank of the n-th node. For instance, <span
+class="cmti-10x-x-109">file1</span>
+and <span
+class="cmti-10x-x-109">file2 </span>might contain the ranks of nodes induced by the degree sequences of
+two distinct layers of a multiplex.
+<!--l. 19--><p class="indent" > However, the program is pretty general and can be used to compute
+the Kendall&#8217;s rank correlation coefficient between any generic pair of
+rankings.
+<!--l. 19--><p class="indent" > N.B.: This implementation takes properly into account rank ties.
+<!--l. 24--><p class="noindent" ><span
+class="cmbx-10x-x-109">OUTPUT</span>
+<!--l. 24--><p class="indent" > The program prints on <span
+class="cmtt-10x-x-109">stdout </span>the value of the Kendall&#8217;s rank correlation
+coefficient <span
+class="cmmi-10x-x-109">&tau;</span><sub><span
+class="cmmi-8">b</span></sub> between the two rankings provided as input.
+<!--l. 31--><p class="noindent" ><span
+class="cmbx-10x-x-109">REFERENCE</span>
+<!--l. 31--><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. 31--><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. 31--><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. 31--><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. 31--><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. 31--><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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