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authorKatolaZ <katolaz@yahoo.it>2015-10-19 16:30:12 +0100
committerKatolaZ <katolaz@yahoo.it>2015-10-19 16:30:12 +0100
commita86962cbfd0321387c920a04188512d0de2f3036 (patch)
treeb6c0d31342f7af9d605ee83cfffe251554a307d4 /doc/html/mammult_docsu15.html
parentdf8386f75b0538075d72d52693836bb8878f505b (diff)
First commit of MAMMULT documentation
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+<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
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+<head><title>1.1.3.0 overlap_degree.py</title>
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+>
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+ <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">&#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; </span><span
+class="cmitt-10x-x-109">[</span><span
+class="cmmi-10x-x-109">&#x003C;</span><span
+class="cmitt-10x-x-109">layer3</span><span
+class="cmmi-10x-x-109">&#x003E;</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=" &sum; &sum; [&alpha;]
+oi = aij
+ &alpha; 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 &minus; &#x27E8;o&#x27E9;
+z(oi) = ---&sigma;---
+ 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">&#x27E8;</span><span
+class="cmmi-10x-x-109">o</span><span
+class="cmsy-10x-x-109">&#x27E9; </span>and <span
+class="cmmi-10x-x-109">&sigma;</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" > &#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. 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" > &#x00A0; <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, &#8220;Structural measures for multiplex
+networks&#8221;, <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>
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