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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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