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diff --git a/doc/bb_fitness.1 b/doc/bb_fitness.1 new file mode 100644 index 0000000..1aa28c5 --- /dev/null +++ b/doc/bb_fitness.1 @@ -0,0 +1,95 @@ +.\" generated with Ronn/v0.7.3 +.\" http://github.com/rtomayko/ronn/tree/0.7.3 +. +.TH "BB_FITNESS" "1" "September 2017" "www.complex-networks.net" "www.complex-networks.net" +. +.SH "NAME" +\fBbb_fitness\fR \- Grow a random graph with the fitness model +. +.SH "SYNOPSIS" +\fBbb_fitness\fR \fIN\fR \fIm\fR \fIn0\fR [SHOW] +. +.SH "DESCRIPTION" +\fBbb_fitness\fR grows an undirected random scale\-free graph with \fIN\fR nodes using the fitness model proposed by Bianconi and Barabasi\. The initial network is a clique of \fIn0\fR nodes, and each new node creates \fIm\fR new edges\. The probability that a new node create an edge to node \fBj\fR is proportional to +. +.IP "" 4 +. +.nf + + a_j * k_j +. +.fi +. +.IP "" 0 +. +.P +where \fBa_j\fR is the attractiveness (fitness) of node \fBj\fR\. The values of node attractiveness are sampled uniformly in the interval [0,1]\. +. +.SH "PARAMETERS" +. +.TP +\fIN\fR +Number of nodes of the final graph\. +. +.TP +\fIm\fR +Number of edges created by each new node\. +. +.TP +\fIn0\fR +Number of nodes in the initial (seed) graph\. +. +.TP +SHOW +If the fourth parameter is equal to \fBSHOW\fR, the values of node attractiveness are printed on STDERR\. +. +.SH "OUTPUT" +\fBbb_fitness\fR prints on STDOUT the edge list of the final graph\. +. +.SH "EXAMPLES" +The following command: +. +.IP "" 4 +. +.nf + + $ bb_fitness 10000 3 4 > bb_fitness_10000_3_4\.txt +. +.fi +. +.IP "" 0 +. +.P +uses the fitness model to create a random graph with \fIN=10000\fR nodes, where each new node creates \fIm=3\fR new edges and the initial seed network is a ring of \fIn0=5\fR nodes\. The edge list of the resulting graph is saved in the file \fBbb_fitness_10000_3_4\.txt\fR (notice the redirection operator \fB>\fR)\. The command: +. +.IP "" 4 +. +.nf + + $ bb_fitness 10000 3 4 SHOW > bb_fitness_10000_3_4\.txt 2> bb_fitness_10000_3_4\.txt_fitness +. +.fi +. +.IP "" 0 +. +.P +will do the same as above, but it will additionally save the values of node fitness in the file \fBbb_fitness_10000_3_4\.txt_fitness\fR (notice the redirection operator \fB2>\fR, that redirects the STDERR to the specified file)\. +. +.SH "SEE ALSO" +ba(1), dms(1) +. +.SH "REFERENCES" +. +.IP "\(bu" 4 +G\. Bianconi, A\.\-L\. Barabasi, " Competition and multiscaling in evolving networks"\. EPL\-Europhys\. Lett\. 54 (2001), 436\. +. +.IP "\(bu" 4 +V\. Latora, V\. Nicosia, G\. Russo, "Complex Networks: Principles, Methods and Applications", Chapter 6, Cambridge University Press (2017) +. +.IP "\(bu" 4 +V\. Latora, V\. Nicosia, G\. Russo, "Complex Networks: Principles, Methods and Applications", Appendix 13, Cambridge University Press (2017) +. +.IP "" 0 +. +.SH "AUTHORS" +(c) Vincenzo \'KatolaZ\' Nicosia 2009\-2017 \fB<v\.nicosia@qmul\.ac\.uk>\fR\. |