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_docsu52.html | 148 ++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 148 insertions(+) create mode 100644 doc/html/mammult_docsu52.html (limited to 'doc/html/mammult_docsu52.html') diff --git a/doc/html/mammult_docsu52.html b/doc/html/mammult_docsu52.html new file mode 100644 index 0000000..b0e0444 --- /dev/null +++ b/doc/html/mammult_docsu52.html @@ -0,0 +1,148 @@ + + +2.3.1.0 tune_qnn_adaptive + + + + + + + + +

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tune_qnn_adaptive
+

NAME +

tune_qnn_adaptive - Construct a multiplex with prescribed inter-layer +correlations. +

SYNOPSYS +

tune_qnn_adaptive <degs1> <degs2> <mu> <eps> <beta> +[RND|NAT|INV] +

DESCRIPTION +

This programs tunes the inter-layer degree correlation exponent μ. If +we consider two layers of a multiplex, and we denote by k the degree +of a node on the first layer and by q the degree of the same node on +the second layers, the inter-layer degree correlation function is defined +as: +
+
+-- ∑ ′ ′ +q(k) = q P(q |k) + q′ +
+

+

where q(k) is the average degree on layer 2 of nodes having degree k on layer +1. +

The program assumes that we want to set the degree correlation function +such that: +
+ + + +
+q(k) = akμ +
+

+

where the exponent of the power-law function is given by the user +(it is indeed the parameter mu), and successively adjusts the pairing +between nodes at the two layers in order to obtain a correlation function as +close as possible to the desired one. The files degs1 and degs2 contain, +respectively, the degrees of the nodes on the first layer and on the second +layer. +

The parameter eps is the accuracy of mu. For instance, if mu is set equal to +-0.25 and eps is equal to 0.0001, the program stops when the configuration of +node pairing corresponds to a value of the exponent μ which differs from -0.25 by +less than 0.0001. +

The parameter beta is the typical inverse temperature of simulated +annealing. +

If no other parameter is specified, or if the last parameter is RND, the program +starts from a random pairing of nodes. If the last parameter is NAT then the +program assumes that the initial pairing is the natural one, where the nodes have +the same ID on both layers. Finally, if INV is specified, the initial pairing is the +inverse pairing, i.e. the one where node 0 on layer 1 is paired with node N-1 on +layer 2, and so on. +

OUTPUT +

The program prints on stdout a pairing, i.e. a list of lines in the +format: +

  IDL1 IDL2 +

where IDL1 is the ID of the node on layer 1 and IDL2 is the corresponding +ID of the same node on layer 2. +

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 + + + +

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