summaryrefslogtreecommitdiff
path: root/doc/html/mammult_docsu35.html
diff options
context:
space:
mode:
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_docsu35.html
parentdf8386f75b0538075d72d52693836bb8878f505b (diff)
First commit of MAMMULT documentation
Diffstat (limited to 'doc/html/mammult_docsu35.html')
-rw-r--r--doc/html/mammult_docsu35.html140
1 files changed, 140 insertions, 0 deletions
diff --git a/doc/html/mammult_docsu35.html b/doc/html/mammult_docsu35.html
new file mode 100644
index 0000000..7bac046
--- /dev/null
+++ b/doc/html/mammult_docsu35.html
@@ -0,0 +1,140 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
+ "http://www.w3.org/TR/html4/loose.dtd">
+<html >
+<head><title>1.2.3.0 fit_knn</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. 4--><div class="crosslinks"><p class="noindent">[<a
+href="mammult_docch2.html" >next</a>] [<a
+href="mammult_docsu34.html" >prev</a>] [<a
+href="mammult_docsu34.html#tailmammult_docsu34.html" >prev-tail</a>] [<a
+href="#tailmammult_docsu35.html">tail</a>] [<a
+href="mammult_docsu31.html#mammult_docsu35.html" >up</a>] </p></div>
+ <h5 class="subsubsectionHead"><a
+ id="x39-380001.2.3"></a><span
+class="cmtt-10x-x-109">fit</span><span
+class="cmtt-10x-x-109">_knn</span></h5>
+<!--l. 4--><p class="noindent" ><span
+class="cmbx-10x-x-109">NAME</span>
+<!--l. 4--><p class="indent" > <span
+class="cmbx-10x-x-109">fit</span><span
+class="cmbx-10x-x-109">_knn </span>- power-law fit of the inter-layer degree correlation function.
+<!--l. 4--><p class="noindent" ><span
+class="cmbx-10x-x-109">SYNOPSYS</span>
+<!--l. 4--><p class="indent" > <span
+class="cmbx-10x-x-109">fit</span><span
+class="cmbx-10x-x-109">_knn </span><span
+class="cmmi-10x-x-109">&#x003C;</span><span
+class="cmitt-10x-x-109">filein</span><span
+class="cmmi-10x-x-109">&#x003E; &#x003C;</span><span
+class="cmitt-10x-x-109">alpha</span><span
+class="cmmi-10x-x-109">&#x003E;</span>
+<!--l. 37--><p class="noindent" ><span
+class="cmbx-10x-x-109">DESCRIPTION</span>
+<!--l. 37--><p class="indent" > Perform a power-law fit of the inter-layer degree correlation function:
+ <table
+class="equation-star"><tr><td>
+ <center class="math-display" >
+<img
+src="mammult_doc11x.png" alt="-- 1 &sum;
+q(k) = --- q&prime;P (q&prime;|k)
+ Nq q&prime;
+" class="math-display" ></center></td></tr></table>
+<!--l. 37--><p class="nopar" >
+<!--l. 37--><p class="indent" > where <span
+class="cmmi-10x-x-109">k </span>is the degree of a node on layer 1, <span
+class="cmmi-10x-x-109">q </span>is the degree on layer 2 and
+<span
+class="cmmi-10x-x-109">P</span>(<span
+class="cmmi-10x-x-109">q</span><span
+class="cmsy-10x-x-109">|</span><span
+class="cmmi-10x-x-109">k</span>) is the probability that a node with degree <span
+class="cmmi-10x-x-109">k </span>on layer 1 has degree <span
+class="cmmi-10x-x-109">q </span>on
+layer 2. The program assumes that <span class="overline"><span
+class="cmmi-10x-x-109">q</span></span>(<span
+class="cmmi-10x-x-109">k</span>) can be written in the form <span
+class="cmmi-10x-x-109">ak</span><sup><span
+class="cmmi-8">b</span></sup>, and
+computes the two parameters <span
+class="cmmi-10x-x-109">a </span>and <span
+class="cmmi-10x-x-109">b </span>through a linear fit of the log-log plot of
+<span class="overline"><span
+class="cmmi-10x-x-109">q</span></span>(<span
+class="cmmi-10x-x-109">k</span>).
+<!--l. 37--><p class="indent" > The input file <span
+class="cmti-10x-x-109">filein </span>contains a list of lines in the format:
+<!--l. 37--><p class="indent" > &#x00A0; <span
+class="cmti-10x-x-109">ki qi</span>
+<!--l. 37--><p class="indent" > where <span
+class="cmti-10x-x-109">ki </span>is the degree of node <span
+class="cmmi-10x-x-109">i </span>at layer 1 and <span
+class="cmti-10x-x-109">qi </span>is the degree of node <span
+class="cmmi-10x-x-109">i </span>at
+layer 2.
+<!--l. 37--><p class="indent" > The second parameter <span
+class="cmti-10x-x-109">alpha </span>is the ratio of the progression used to generate
+the exponentially-distributed bins for the log-log plot. Typical values of <span
+class="cmti-10x-x-109">alpha </span>are
+between 1<span
+class="cmmi-10x-x-109">.</span>1 and 2<span
+class="cmmi-10x-x-109">.</span>0.
+<!--l. 37--><p class="indent" > N.B.: The exponent <span
+class="cmmi-10x-x-109">b </span>computed with this method is known to be
+inaccurate.
+
+
+
+<!--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>the values of the parameters <span
+class="cmmi-10x-x-109">a </span>and <span
+class="cmmi-10x-x-109">b </span>of the
+power-law fit <span class="overline"><span
+class="cmmi-10x-x-109">q</span></span>(<span
+class="cmmi-10x-x-109">k</span>) = <span
+class="cmmi-10x-x-109">ak</span><sup><span
+class="cmmi-8">b</span></sup>.
+<!--l. 50--><p class="noindent" ><span
+class="cmbx-10x-x-109">REFERENCE</span>
+<!--l. 50--><p class="indent" > V. Nicosia, V. Latora, &#8220;Measuring and modeling correlations in multiplex
+networks&#8221;, <span
+class="cmti-10x-x-109">Phys. Rev. E </span><span
+class="cmbx-10x-x-109">92</span>, 032805 (2015).
+<!--l. 50--><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. 50--><p class="indent" > V. Nicosia, G. Bianconi, V. Latora, M. Barthelemy, &#8220;Growing multiplex
+networks&#8221;, <span
+class="cmti-10x-x-109">Phys. Rev. Lett. </span><span
+class="cmbx-10x-x-109">111</span>, 058701 (2013).
+<!--l. 50--><p class="indent" > Link to paper: <a
+href="http://prl.aps.org/abstract/PRL/v111/i5/e058701" class="url" ><span
+class="cmtt-10x-x-109">http://prl.aps.org/abstract/PRL/v111/i5/e058701</span></a>
+<!--l. 50--><p class="indent" > V. Nicosia, G. Bianconi, V. Latora, M. Barthelemy, &#8220;Non-linear growth and
+condensation in multiplex networks&#8221;, <span
+class="cmti-10x-x-109">Phys. Rev. E </span><span
+class="cmbx-10x-x-109">90</span>, 042807 (2014).
+<!--l. 50--><p class="indent" > Link to paper: <a
+href="http://journals.aps.org/pre/abstract/10.1103/PhysRevE.90.042807" class="url" ><span
+class="cmtt-10x-x-109">http://journals.aps.org/pre/abstract/10.1103/PhysRevE.90.042807</span></a>
+
+
+
+ <!--l. 208--><div class="crosslinks"><p class="noindent">[<a
+href="mammult_docch2.html" >next</a>] [<a
+href="mammult_docsu34.html" >prev</a>] [<a
+href="mammult_docsu34.html#tailmammult_docsu34.html" >prev-tail</a>] [<a
+href="mammult_docsu35.html" >front</a>] [<a
+href="mammult_docsu31.html#mammult_docsu35.html" >up</a>] </p></div>
+<!--l. 208--><p class="indent" > <a
+ id="tailmammult_docsu35.html"></a>
+</body></html>