From a86962cbfd0321387c920a04188512d0de2f3036 Mon Sep 17 00:00:00 2001 From: KatolaZ Date: Mon, 19 Oct 2015 16:30:12 +0100 Subject: First commit of MAMMULT documentation --- doc/html/mammult_docsu35.html | 140 ++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 140 insertions(+) create mode 100644 doc/html/mammult_docsu35.html (limited to 'doc/html/mammult_docsu35.html') 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 @@ + + +1.2.3.0 fit_knn + + + + + + + + +

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fit_knn
+

NAME +

fit_knn - power-law fit of the inter-layer degree correlation function. +

SYNOPSYS +

fit_knn <filein> <alpha> +

DESCRIPTION +

Perform a power-law fit of the inter-layer degree correlation function: +
+
+-- 1 ∑ +q(k) = --- q′P (q′|k) + Nq q′ +
+

+

where k is the degree of a node on layer 1, q is the degree on layer 2 and +P(q|k) is the probability that a node with degree k on layer 1 has degree q on +layer 2. The program assumes that q(k) can be written in the form akb, and +computes the two parameters a and b through a linear fit of the log-log plot of +q(k). +

The input file filein contains a list of lines in the format: +

  ki qi +

where ki is the degree of node i at layer 1 and qi is the degree of node i at +layer 2. +

The second parameter alpha is the ratio of the progression used to generate +the exponentially-distributed bins for the log-log plot. Typical values of alpha are +between 1.1 and 2.0. +

N.B.: The exponent b computed with this method is known to be +inaccurate. + + + +

OUTPUT +

The program prints on stdout the values of the parameters a and b of the +power-law fit q(k) = akb. +

REFERENCE +

V. Nicosia, V. Latora, “Measuring and modeling correlations in multiplex +networks”, Phys. Rev. E 92, 032805 (2015). +

Link to paper: http://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.032805 +

V. Nicosia, G. Bianconi, V. Latora, M. Barthelemy, “Growing multiplex +networks”, Phys. Rev. Lett. 111, 058701 (2013). +

Link to paper: http://prl.aps.org/abstract/PRL/v111/i5/e058701 +

V. Nicosia, G. Bianconi, V. Latora, M. Barthelemy, “Non-linear growth and +condensation in multiplex networks”, Phys. Rev. E 90, 042807 (2014). +

Link to paper: http://journals.aps.org/pre/abstract/10.1103/PhysRevE.90.042807 + + + +

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