From a86962cbfd0321387c920a04188512d0de2f3036 Mon Sep 17 00:00:00 2001
From: KatolaZ <katolaz@yahoo.it>
Date: Mon, 19 Oct 2015 16:30:12 +0100
Subject: First commit of MAMMULT documentation

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+<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"  
+  "http://www.w3.org/TR/html4/loose.dtd">  
+<html > 
+<head><title>3.2.2.0 entropyrate2add</title> 
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+>
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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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