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.TH "ER_A" "1" "September 2017" "www.complex-networks.net" "www.complex-networks.net"
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.SH "NAME"
\fBer_A\fR \- Sample a random graph from the Erdos\-Renyi model A
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.SH "SYNOPSIS"
\fBer_A\fR \fIN\fR \fIK\fR [\fIfileout\fR]
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.SH "DESCRIPTION"
\fBer_A\fR samples a random graph with \fIN\fR nodes and \fIK\fR edges from the Erdos\-Renyi model A, i\.e\. the ensemble of random graphs where K links are placed uniformly at random among N nodes\. The program dumps the edge list of the resulting graph on output\. If the optional \fIfileout\fR is provided, the output is written on a file with that name\.
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.SH "PARAMETERS"
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.TP
\fIN\fR
Number of nodes in the final graph\.
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.TP
\fIK\fR
Number of edges in the final graph\.
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.TP
\fIfileout\fR
The (optional) name of the filename where the edge list of the graph will be saved\.
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.SH "EXAMPLES"
The following command:
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.IP "" 4
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.nf

     $ er_A 1000 3000
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.fi
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.IP "" 0
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.P
samples an undirected random network with \fIN=1000\fR nodes and \fIK=3000\fR edges using the Erdos\-Renyi model A\. The output of the command \fBer_A\fR will be the edge\-list of the resulting graph, where each (undirected) edge is reported only once\. In order to be useful, such edge\-list should be saved into a file\. The following command:
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.IP "" 4
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.nf

      $ er_A 1000 3000 > er_A_1000_3000\.net
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.fi
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.IP "" 0
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.P
will save the resulting graph in the file er_A_1000_3000\.net\. Notice the usage of the symbol ">" to redirect the output of the program to a file\.
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.SH "SEE ALSO"
er_B(1), ws(1)
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.SH "REFERENCES"
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.IP "\(bu" 4
P\. Erdos, & A\. Rényi, "On Random Graphs I", Publ\. Math\. Debrecen, 6, 290 (1959)
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.IP "\(bu" 4
P\.Erdos, & A\. Renyi, "On the evolution of random graphs" Publ\. Math\. Inst\. Hungary\. Acad\. Sci\., 5, 17\-61 (1960)
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.IP "\(bu" 4
V\. Latora, V\. Nicosia, G\. Russo, "Complex Networks: Principles, Methods and Applications", Chapter 3, Cambridge University Press (2017)
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.IP "\(bu" 4
V\. Latora, V\. Nicosia, G\. Russo, "Complex Networks: Principles, Methods and Applications", Appendix 10, Cambridge University Press (2017)
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.IP "" 0
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.SH "AUTHORS"
(c) Vincenzo \'KatolaZ\' Nicosia 2009\-2017 \fB<v\.nicosia@qmul\.ac\.uk>\fR\.