diff options
Diffstat (limited to 'doc/html/mammult_docsu40.html')
| -rw-r--r-- | doc/html/mammult_docsu40.html | 138 |
1 files changed, 138 insertions, 0 deletions
diff --git a/doc/html/mammult_docsu40.html b/doc/html/mammult_docsu40.html new file mode 100644 index 0000000..5edece7 --- /dev/null +++ b/doc/html/mammult_docsu40.html @@ -0,0 +1,138 @@ +<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" + "http://www.w3.org/TR/html4/loose.dtd"> +<html > +<head><title>2.1.1.0 model_layer_growth.py</title> +<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1"> +<meta name="generator" content="TeX4ht (http://www.cse.ohio-state.edu/~gurari/TeX4ht/)"> +<meta name="originator" content="TeX4ht (http://www.cse.ohio-state.edu/~gurari/TeX4ht/)"> +<!-- html,index=2,3,4,5,next --> +<meta name="src" content="mammult_doc.tex"> +<meta name="date" content="2015-10-19 16:26:00"> +<link rel="stylesheet" type="text/css" href="mammult_doc.css"> +</head><body +> + <!--l. 3--><div class="crosslinks"><p class="noindent">[<a +href="mammult_docse4.html" >next</a>] [<a +href="mammult_docsu39.html" >prev</a>] [<a +href="mammult_docsu39.html#tailmammult_docsu39.html" >prev-tail</a>] [<a +href="#tailmammult_docsu40.html">tail</a>] [<a +href="mammult_docsu36.html#mammult_docsu40.html" >up</a>] </p></div> + <h5 class="subsubsectionHead"><a + id="x46-450002.1.1"></a><span +class="cmtt-10x-x-109">model</span><span +class="cmtt-10x-x-109">_layer</span><span +class="cmtt-10x-x-109">_growth.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">model</span><span +class="cmbx-10x-x-109">_layer</span><span +class="cmbx-10x-x-109">_growth.py </span>- Layer growth with preferential activation +model. +<!--l. 3--><p class="noindent" ><span +class="cmbx-10x-x-109">SYNOPSYS</span> +<!--l. 3--><p class="indent" > <span +class="cmbx-10x-x-109">model</span><span +class="cmbx-10x-x-109">_layer</span><span +class="cmbx-10x-x-109">_growth.py </span><span +class="cmmi-10x-x-109"><</span><span +class="cmitt-10x-x-109">layer</span><span +class="cmitt-10x-x-109">_N</span><span +class="cmitt-10x-x-109">_file</span><span +class="cmmi-10x-x-109">> <</span><span +class="cmitt-10x-x-109">N</span><span +class="cmmi-10x-x-109">> <</span><span +class="cmitt-10x-x-109">M0</span><span +class="cmmi-10x-x-109">> <</span><span +class="cmitt-10x-x-109">A</span><span +class="cmmi-10x-x-109">></span> +<span +class="cmitt-10x-x-109">[RND]</span> +<!--l. 29--><p class="noindent" ><span +class="cmbx-10x-x-109">DESCRIPTION</span> +<!--l. 29--><p class="indent" > This is the model of layer growth with preferential node activation. In this +model an entire new layer arrives at time <span +class="cmmi-10x-x-109">t </span>and a number of nodes <span +class="cmmi-10x-x-109">N</span><sub><span +class="cmmi-8">t</span></sub> is +activated (<span +class="cmmi-10x-x-109">N</span>_<span +class="cmmi-10x-x-109">t </span>is equal to the number of nodes active on that layer in the +reference multiplex). Then, each node <span +class="cmmi-10x-x-109">i </span>of the new layer is activated with a +probability: + <table +class="equation-star"><tr><td> + <center class="math-display" > +<img +src="mammult_doc12x.png" alt="Pi(t) ∝ A + Bi (t) +" class="math-display" ></center></td></tr></table> +<!--l. 29--><p class="nopar" > +<!--l. 29--><p class="indent" > where <span +class="cmmi-10x-x-109">B</span><sub><span +class="cmmi-8">i</span></sub>(<span +class="cmmi-10x-x-109">t</span>) is the activity of node <span +class="cmmi-10x-x-109">i </span>at time <span +class="cmmi-10x-x-109">t </span>(i.e., the number of +layers in which node <span +class="cmmi-10x-x-109">i </span>is active at time <span +class="cmmi-10x-x-109">t</span>) while <span +class="cmmi-10x-x-109">A > </span>0 is an intrinsic +attractiveness. +<!--l. 29--><p class="indent" > The file <span +class="cmti-10x-x-109">layer</span><span +class="cmti-10x-x-109">_N</span><span +class="cmti-10x-x-109">_file </span>reports on the n-th line the number of active nodes on +the n-th layer. +<!--l. 29--><p class="indent" > The parameter <span +class="cmti-10x-x-109">N </span>is the number of nodes in the multiplex, <span +class="cmti-10x-x-109">M0 </span>is the number +of layers in the initial network, <span +class="cmti-10x-x-109">A </span>is the value of node attractiveness. +<!--l. 29--><p class="indent" > If the user specifies <span +class="cmtt-10x-x-109">RND </span>as the last parameter, the sequence of layers +is + + + +<!--l. 44--><p class="noindent" ><span +class="cmbx-10x-x-109">OUTPUT</span> +<!--l. 44--><p class="indent" > The program prints on <span +class="cmtt-10x-x-109">stdout </span>a node-layer list of lines in the format: +<!--l. 44--><p class="indent" >   <span +class="cmti-10x-x-109">node</span><span +class="cmti-10x-x-109">_i layer</span><span +class="cmti-10x-x-109">_i</span> +<!--l. 44--><p class="indent" > where <span +class="cmti-10x-x-109">node</span><span +class="cmti-10x-x-109">_i </span>is the ID of a node and <span +class="cmti-10x-x-109">layre</span><span +class="cmti-10x-x-109">_i </span>is the ID of a layer. This +list indicates which nodes are active in which layer. For instance, the +line: +<!--l. 44--><p class="indent" >   <span +class="cmti-10x-x-109">24 3</span> +<!--l. 44--><p class="indent" > indicates that the node with ID <span +class="cmti-10x-x-109">24 </span>is active on layer <span +class="cmti-10x-x-109">3</span>. +<!--l. 46--><p class="noindent" ><span +class="cmbx-10x-x-109">REFERENCE</span> +<!--l. 46--><p class="indent" > V. Nicosia, V. Latora, “Measuring and modeling correlations in multiplex +networks”, <span +class="cmti-10x-x-109">Phys. Rev. E </span><span +class="cmbx-10x-x-109">92</span>, 032805 (2015). +<!--l. 46--><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. 220--><div class="crosslinks"><p class="noindent">[<a +href="mammult_docse4.html" >next</a>] [<a +href="mammult_docsu39.html" >prev</a>] [<a +href="mammult_docsu39.html#tailmammult_docsu39.html" >prev-tail</a>] [<a +href="mammult_docsu40.html" >front</a>] [<a +href="mammult_docsu36.html#mammult_docsu40.html" >up</a>] </p></div> +<!--l. 220--><p class="indent" > <a + id="tailmammult_docsu40.html"></a> +</body></html> |