2.2.2.0 nibilab

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_docsu47.html | 142 ++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 142 insertions(+) create mode 100644 doc/html/mammult_docsu47.html (limited to 'doc/html/mammult_docsu47.html') diff --git a/doc/html/mammult_docsu47.html b/doc/html/mammult_docsu47.html new file mode 100644 index 0000000..d3d1192 --- /dev/null +++ b/doc/html/mammult_docsu47.html @@ -0,0 +1,142 @@ + + +2.2.2.0 nibilab_nonlinear + + + + + + + + +

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nibilab_nonlinear

NAME +

nibilab_nonlinear - Multiplex non-linear preferential attachment model – +Synchronous arrival. +

SYNOPSYS +

nibilab_nonlinear <N> <m> <m0> <outfile> <alpha> <beta> +

DESCRIPTION +

Grow a two-layer multiplex network using the multiplex non-linear +preferential attachment model by Nicosia, Bianconi, Latora, Barthelemy +(NiBiLaB). +

The probability for a newly arrived node i to create a link to node j on layer +1 is: +
+ $( [1])α + 1 kj +Πi→j ∝ (-[2])β- + kj +$
+ + + +

and the dual probability for i to create a link to j on layer 2 is: +
+ $( )α + k[2j] +Π2i→j ∝ (---)β- + k[1j] +$
+

Each node arrives simultaneously on both layers. +

The (mandatory) parameters are as follows: +

N number of nodes in the final graph +
m number of new edges brought by each new node +
m0 number of nodes in the initial seed graph. m0 must be larger than + of equal to m. +
outfile the name of the file which will contain the +
alpha, beta exponents of of the attaching probability function +

OUTPUT +

The program dumps on the file outfile the (undirected) edge list of the +resulting network. Each line of the file is in the format: +

src_ID dest_ID + + + +

where src_ID and dest_ID are the IDs of the two endpoints of an +edge. +

REFERENCE +

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 + + + +

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+ -- cgit v1.2.3