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NetBunch/doc/er_B.md

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er_B(1) -- Sample a random graph from the Erdos-Renyi model B

SYNOPSIS

er_B p []

DESCRIPTION

er_B samples a random graph from the Erdos-Renyi model B, i.e. a graph with nodes where each of the <N(N-1)/2> edges is created independently with probability p. The program dumps the edge list of the resulting graph on output. If the optional is provided, the output is written on a file with that name.

PARAMETERS

  • : Number of nodes in the final graph.

  • p: Edge probability.

  • : The (optional) name of the filename where the edge list of the graph will be saved.

EXAMPLES

The following command:

      $ er_B 1000 0.006

samples an undirected random network with <N=1000> nodes where each possible edge is created with probability p=0.006. The output of the command er_B 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:

      $ er_B 1000 0.006 > er_B_1000_0.006.net

will save the resulting graph in the file er_B_1000_0.006.net. Notice the usage of the symbol ">" to redirect the output of the program to a file.

SEE ALSO

er_A(1), ws(1)

REFERENCES

  • P. Erdos, & A. Rényi, "On Random Graphs I", Publ. Math. Debrecen, 6, 290 (1959)

  • P.Erdos, & A. Renyi, "On the evolution of random graphs" Publ. Math. Inst. Hungary. Acad. Sci., 5, 17-61 (1960)

  • V. Latora, V. Nicosia, G. Russo, "Complex Networks: Principles, Methods and Applications", Chapter 3, Cambridge University Press (2017)

  • V. Latora, V. Nicosia, G. Russo, "Complex Networks: Principles, Methods and Applications", Appendix 10, Cambridge University Press (2017)

AUTHORS

(c) Vincenzo 'KatolaZ' Nicosia 2009-2017 <v.nicosia@qmul.ac.uk>.