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diff --git a/doc/html/mammult_docsu21.html b/doc/html/mammult_docsu21.html new file mode 100644 index 0000000..87045b2 --- /dev/null +++ b/doc/html/mammult_docsu21.html @@ -0,0 +1,125 @@ +<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" + "http://www.w3.org/TR/html4/loose.dtd"> +<html > +<head><title>1.1.4.0 avg_edge_overlap.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_docsu22.html" >next</a>] [<a +href="mammult_docsu20.html" >prev</a>] [<a +href="mammult_docsu20.html#tailmammult_docsu20.html" >prev-tail</a>] [<a +href="#tailmammult_docsu21.html">tail</a>] [<a +href="mammult_docsu19.html#mammult_docsu21.html" >up</a>] </p></div> + <h5 class="subsubsectionHead"><a + id="x24-230001.1.4"></a><span +class="cmtt-10x-x-109">avg</span><span +class="cmtt-10x-x-109">_edge</span><span +class="cmtt-10x-x-109">_overlap.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">avg</span><span +class="cmbx-10x-x-109">_edge</span><span +class="cmbx-10x-x-109">_overlap.py </span>- compute the average edge overlap of a multiplex. +<!--l. 3--><p class="noindent" ><span +class="cmbx-10x-x-109">SYNOPSYS</span> +<!--l. 3--><p class="indent" > <span +class="cmbx-10x-x-109">avg</span><span +class="cmbx-10x-x-109">_edge</span><span +class="cmbx-10x-x-109">_overlap.py </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">[</span><span +class="cmmi-10x-x-109"><</span><span +class="cmitt-10x-x-109">layer2</span><span +class="cmmi-10x-x-109">></span><span +class="cmitt-10x-x-109">...]</span> +<!--l. 29--><p class="noindent" ><span +class="cmbx-10x-x-109">DESCRIPTION</span> +<!--l. 29--><p class="indent" > Compute and print on output the average edge overlap + <table +class="equation-star"><tr><td> + <center class="math-display" > +<img +src="mammult_doc4x.png" alt=" ∑ ∑ ∑ [α] + ∗ ∑--∑-i--j>i---αaij---- +ω = i j>i(1− δ ∑ [α]) + 0, α aij +" class="math-display" ></center></td></tr></table> +<!--l. 29--><p class="nopar" > +<!--l. 29--><p class="noindent" >i.e., the expected <span +class="cmti-10x-x-109">number </span>of layers on which an edge of the multiplex exists, and +the corresponding normalised quantity: + <table +class="equation-star"><tr><td> + <center class="math-display" > +<img +src="mammult_doc5x.png" alt=" ∑ ∑ ∑ a[α] +ω = ---∑--∑i--j>i--α--ij----- + M i j>i(1− δ0,∑α a[iαj] ) +" class="math-display" ></center></td></tr></table> +<!--l. 29--><p class="nopar" > +<!--l. 29--><p class="noindent" >that is the expected <span +class="cmti-10x-x-109">fraction </span>of layers on which an edge of the multiplex is +present. +<!--l. 29--><p class="indent" > Each input file contains the (undirected) edge list of a layer, and each line is +in the format: +<!--l. 29--><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. 29--><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. 38--><p class="noindent" ><span +class="cmbx-10x-x-109">OUTPUT</span> +<!--l. 38--><p class="indent" > The program prints on <span +class="cmtt-10x-x-109">stdout </span>a single line, in the format: +<!--l. 38--><p class="indent" >   <span +class="cmti-10x-x-109">omega</span><span +class="cmti-10x-x-109">_star omega</span> +<!--l. 38--><p class="noindent" >where <span +class="cmti-10x-x-109">omega</span><span +class="cmti-10x-x-109">_star </span>and <span +class="cmti-10x-x-109">omega </span>are, respectively, the expected number and fraction +of layers in which an edge is present. +<!--l. 42--><p class="noindent" ><span +class="cmbx-10x-x-109">REFERENCE</span> +<!--l. 42--><p class="indent" > F. Battiston, V. Nicosia, V. Latora, “Structural measures for multiplex +networks”, <span +class="cmti-10x-x-109">Phys. Rev. E </span><span +class="cmbx-10x-x-109">89</span>, 032804 (2014). +<!--l. 42--><p class="indent" > Link to paper: <a +href="http://journals.aps.org/pre/abstract/10.1103/PhysRevE.89.032804" class="url" ><span +class="cmtt-10x-x-109">http://journals.aps.org/pre/abstract/10.1103/PhysRevE.89.032804</span></a> +<!--l. 42--><p class="indent" > L. Lacasa, V. Nicosia, V. Latora, <span +class="cmti-10x-x-109">“Network structure of multivariate time</span> +<span +class="cmti-10x-x-109">series”</span>, accepted for publication in Scientific Reports, arxiv:1408.0925 +(2015). +<!--l. 42--><p class="indent" > Link to paper: <a +href="http://arxiv.org/abs/1408.0925" class="url" ><span +class="cmtt-10x-x-109">http://arxiv.org/abs/1408.0925</span></a> + + + + <!--l. 7--><div class="crosslinks"><p class="noindent">[<a +href="mammult_docsu22.html" >next</a>] [<a +href="mammult_docsu20.html" >prev</a>] [<a +href="mammult_docsu20.html#tailmammult_docsu20.html" >prev-tail</a>] [<a +href="mammult_docsu21.html" >front</a>] [<a +href="mammult_docsu19.html#mammult_docsu21.html" >up</a>] </p></div> +<!--l. 7--><p class="indent" > <a + id="tailmammult_docsu21.html"></a> +</body></html> |