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+<head><title>3.2.2.0 entropyrate2add</title>
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+ <h5 class="subsubsectionHead"><a
+ id="x68-670003.2.2"></a><span
+class="cmtt-10x-x-109">entropyrate2add</span></h5>
+<!--l. 7--><p class="noindent" ><span
+class="cmbx-10x-x-109">NAME</span>
+<!--l. 7--><p class="indent" > <span
+class="cmbx-10x-x-109">entropyrate2add </span>- compute the entropy rate of additive biased walks in a
+multiplex with 2 layers.
+<!--l. 7--><p class="noindent" ><span
+class="cmbx-10x-x-109">SYNOPSYS</span>
+<!--l. 7--><p class="indent" > <span
+class="cmbx-10x-x-109">entropyrate2add </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; overlappingnetwork &#x003E; &#x003C;</span><span
+class="cmitt-10x-x-109">N</span><span
+class="cmmi-10x-x-109">&#x003E;</span>
+<span
+class="cmmi-10x-x-109">b</span><sub><span
+class="cmr-8">1</span></sub> <span
+class="cmmi-10x-x-109">b</span><sub><span
+class="cmr-8">2</span></sub>
+<!--l. 20--><p class="noindent" ><span
+class="cmbx-10x-x-109">DESCRIPTION</span>
+<!--l. 20--><p class="indent" > Compute and print the entropy rate of an additive biased walk in a
+multiplex with 2 layers and bias parameters <span
+class="cmmi-10x-x-109">b</span><sub><span
+class="cmr-8">1</span></sub> and <span
+class="cmmi-10x-x-109">b</span><sub><span
+class="cmr-8">2</span></sub>. Files <span
+class="cmti-10x-x-109">layer1</span>, <span
+class="cmti-10x-x-109">layer2</span>,
+contain the (undirected) edge list of the two layer, and each line is in the
+format:
+<!--l. 20--><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. 20--><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. 20--><p class="indent" > The file <span
+class="cmti-10x-x-109">overlapping network </span>has also a third column indicating the number of
+times two nodes are connected across all layers.
+<!--l. 20--><p class="indent" > <span
+class="cmmi-10x-x-109">N </span>is the number of nodes, <span
+class="cmmi-10x-x-109">b</span><sub><span
+class="cmr-8">1</span></sub> is the degree-biased exponent for layer 1, <span
+class="cmmi-10x-x-109">b</span><sub><span
+class="cmr-8">2</span></sub> is
+the degree-biased exponent for layer 2.
+<!--l. 22--><p class="noindent" ><span
+class="cmbx-10x-x-109">OUTPUT</span>
+<!--l. 22--><p class="indent" > One line, reporting the value of the entropy rate <span
+class="cmmi-10x-x-109">h </span>of an additive biased
+random walks with <span
+class="cmmi-10x-x-109">b</span><sub><span
+class="cmr-8">1</span></sub> and <span
+class="cmmi-10x-x-109">b</span><sub><span
+class="cmr-8">2</span></sub> as bias exponents, <span
+class="cmmi-10x-x-109">b</span><sub><span
+class="cmr-8">1</span></sub> and <span
+class="cmmi-10x-x-109">b</span><sub><span
+class="cmr-8">2</span></sub>.
+
+
+
+<!--l. 24--><p class="noindent" ><span
+class="cmbx-10x-x-109">REFERENCE</span>
+<!--l. 24--><p class="indent" > F. Battiston, V. Nicosia, V. Latora, <span
+class="cmti-10x-x-109">&#8220;Biased random walks on multiplex</span>
+<span
+class="cmti-10x-x-109">networks&#8221;</span>, arxiv:1505.01378 (2015).
+<!--l. 24--><p class="indent" > Link to paper: <a
+href="http://arxiv.org/abs/1505.01378" class="url" ><span
+class="cmtt-10x-x-109">http://arxiv.org/abs/1505.01378</span></a>
+
+
+
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