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<h5 class="subsubsectionHead"><a
id="x70-690003.2.2"></a><span
class="cmtt-10x-x-109">entropyrate2mult</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">entropyrate2mult </span>- compute the entropy rate of multiplicative 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">entropyrate2mult </span><span
class="cmmi-10x-x-109"><</span><span
class="cmitt-10x-x-109">layer1</span><span
class="cmmi-10x-x-109">> <</span><span
class="cmitt-10x-x-109">layer2</span><span
class="cmmi-10x-x-109">> < overlappingnetwork > <</span><span
class="cmitt-10x-x-109">N</span><span
class="cmmi-10x-x-109">></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 a multiplicative 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" >   <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 multiplicative 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">“Biased random walks on multiplex</span>
<span
class="cmti-10x-x-109">networks”</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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