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| author | KatolaZ <katolaz@yahoo.it> | 2015-10-19 16:30:12 +0100 |
|---|---|---|
| committer | KatolaZ <katolaz@yahoo.it> | 2015-10-19 16:30:12 +0100 |
| commit | a86962cbfd0321387c920a04188512d0de2f3036 (patch) | |
| tree | b6c0d31342f7af9d605ee83cfffe251554a307d4 /doc/html/mammult_docsu15.html | |
| parent | df8386f75b0538075d72d52693836bb8878f505b (diff) | |
First commit of MAMMULT documentation
Diffstat (limited to 'doc/html/mammult_docsu15.html')
| -rw-r--r-- | doc/html/mammult_docsu15.html | 134 |
1 files changed, 134 insertions, 0 deletions
diff --git a/doc/html/mammult_docsu15.html b/doc/html/mammult_docsu15.html new file mode 100644 index 0000000..e1d4712 --- /dev/null +++ b/doc/html/mammult_docsu15.html @@ -0,0 +1,134 @@ +<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" + "http://www.w3.org/TR/html4/loose.dtd"> +<html > +<head><title>1.1.3.0 overlap_degree.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_docsu16.html" >next</a>] [<a +href="mammult_docsu14.html" >prev</a>] [<a +href="mammult_docsu14.html#tailmammult_docsu14.html" >prev-tail</a>] [<a +href="#tailmammult_docsu15.html">tail</a>] [<a +href="mammult_docsu14.html#mammult_docsu15.html" >up</a>] </p></div> + <h5 class="subsubsectionHead"><a + id="x18-170001.1.3"></a><span +class="cmtt-10x-x-109">overlap</span><span +class="cmtt-10x-x-109">_degree.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">overlap</span><span +class="cmbx-10x-x-109">_degree.py </span>- compute the total (overlapping) degree of all the nodes +of a multiplex and the corresponding Z-score. +<!--l. 3--><p class="noindent" ><span +class="cmbx-10x-x-109">SYNOPSYS</span> +<!--l. 3--><p class="indent" > <span +class="cmbx-10x-x-109">overlap</span><span +class="cmbx-10x-x-109">_degree.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">layer2</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">layer3</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 total degree <span +class="cmmi-10x-x-109">o</span><sub><span +class="cmmi-8">i</span></sub> of each node <span +class="cmmi-10x-x-109">i </span>of a +multiplex, defined as: + <table +class="equation-star"><tr><td> + <center class="math-display" > +<img +src="mammult_doc0x.png" alt=" ∑ ∑ [α] +oi = aij + α j + + + +" class="math-display" ></center></td></tr></table> +<!--l. 29--><p class="nopar" > +<!--l. 29--><p class="noindent" >and the corresponding Z-score: + <table +class="equation-star"><tr><td> + <center class="math-display" > +<img +src="mammult_doc1x.png" alt=" oi − ⟨o⟩ +z(oi) = ---σ--- + o +" class="math-display" ></center></td></tr></table> +<!--l. 29--><p class="nopar" > +<!--l. 29--><p class="noindent" >where <span +class="cmsy-10x-x-109">⟨</span><span +class="cmmi-10x-x-109">o</span><span +class="cmsy-10x-x-109">⟩ </span>and <span +class="cmmi-10x-x-109">σ</span><sub><span +class="cmmi-8">o</span></sub> are, respectively, the mean and the standard deviation of the +total degree computed over all the active nodes of the multiplex. +<!--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. 43--><p class="noindent" ><span +class="cmbx-10x-x-109">OUTPUT</span> +<!--l. 43--><p class="indent" > The program prints on <span +class="cmtt-10x-x-109">stdout </span>a list of lines in the format: +<!--l. 43--><p class="indent" >   <span +class="cmti-10x-x-109">ID</span><span +class="cmti-10x-x-109">_n deg</span><span +class="cmti-10x-x-109">_n z</span><span +class="cmti-10x-x-109">_n</span> +<!--l. 43--><p class="indent" > where <span +class="cmti-10x-x-109">ID</span><span +class="cmti-10x-x-109">_n </span>is the ID of the node, <span +class="cmti-10x-x-109">deg</span><span +class="cmti-10x-x-109">_n </span>is its total degree, and <span +class="cmti-10x-x-109">z</span><span +class="cmti-10x-x-109">_n </span>is the +corresponding Z-score. +<!--l. 43--><p class="noindent" >As usual, node IDs start from zero and proceed sequentially, without gaps, i.e., if +a node ID is not present in any of the layer files given as input, the program +considers it as being isolated on all the layers, and the node is omitted from the +output. +<!--l. 45--><p class="noindent" ><span +class="cmbx-10x-x-109">REFERENCE</span> +<!--l. 45--><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. 45--><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. 4--><div class="crosslinks"><p class="noindent">[<a +href="mammult_docsu16.html" >next</a>] [<a +href="mammult_docsu14.html" >prev</a>] [<a +href="mammult_docsu14.html#tailmammult_docsu14.html" >prev-tail</a>] [<a +href="mammult_docsu15.html" >front</a>] [<a +href="mammult_docsu14.html#mammult_docsu15.html" >up</a>] </p></div> +<!--l. 4--><p class="indent" > <a + id="tailmammult_docsu15.html"></a> +</body></html> |