2.3 KiB
bbv(1) -- Grow a weighted scale-free random graph
SYNOPSIS
bbv
DESCRIPTION
bbv grows an undirected weighted random scale-free graph with
nodes using the model proposed by Barrat, Barthelemy, and
Vespignani. The initial network is a clique of nodes, and each
new node creates new edges, each with weight . The parameter
sets the amount of weight to be redistributed in the
neighbourhood of newly-connected nodes.
PARAMETERS
-
: Number of nodes of the final graph.
-
: Number of edges created by each new node.
-
: Number of nodes in the initial (seed) graph.
-
: Weight of each new edge (must be >=0)
-
: The amount of weight to be redistributed among the neighbours of newly-connected nodes.
OUTPUT
bbv prints on STDOUT the edge list of the final graph, which
consists of three columns:
node1 node2 weight
where weight is the weight of the corresponding edge. Please note
that each edge is printed only once.
EXAMPLES
The following command:
$ bbv 10000 3 5 1.0 0.5 > bbv_10000_3_5_1.0_0.5.txt
creates a weighted scale-free graph with <N=10000> nodes, where each
new node creates <m=3> new edges and the initial seed network is a
ring of <n0=5> nodes. Each new edge has an initial weight equal to
. The weights of existing edges are rearranged after the addition
of a new edge, by rearranging an amount of weight equal to .
The final graph is saved in the file bbv_10000_3_5_1.0_0.5.txt
(notice the STDOUT redirection operator >).
SEE ALSO
ba(1), bb_fitness(1), dms(1)
REFERENCES
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A. Barrat, M. Barthelemy, and A. Vespignani. "Weighted Evolving Networks: Coupling Topology and Weight Dynamics". Phys. Rev. Lett. 92 (2004), 228701.
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A. Barrat, M. Barthelemy, and A. Vespignani. "Modeling the evolution of weighted networks". Phys. Rev. E 70 (2004), 066149.
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V. Latora, V. Nicosia, G. Russo, "Complex Networks: Principles, Methods and Applications", Chapter 6, Cambridge University Press (2017)
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V. Latora, V. Nicosia, G. Russo, "Complex Networks: Principles, Methods and Applications", Appendix 13, Cambridge University Press (2017)
AUTHORS
(c) Vincenzo 'KatolaZ' Nicosia 2009-2017 <v.nicosia@qmul.ac.uk>.