- bbv(1)
- www.complex-networks.net
- bbv(1)

`bbv`

- Grow a weighted scale-free random graph

`bbv`

`N` `m` `n0` `w0` `delta`

`bbv`

grows an undirected weighted random scale-free graph with `N`
nodes using the model proposed by Barrat, Barthelemy, and
Vespignani. The initial network is a clique of `n0` nodes, and each
new node creates `m` new edges, each with weight `w0`. The parameter
`delta` sets the amount of weight to be redistributed in the
neighbourhood of newly-connected nodes.

`N`Number of nodes of the final graph.

`m`Number of edges created by each new node.

`n0`Number of nodes in the initial (seed) graph.

`w0`Weight of each new edge (must be >=0)

`delta`The amount of weight to be redistributed among the neighbours of newly-connected nodes.

`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.

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
`w0`. The weights of existing edges are rearranged after the addition
of a new edge, by rearranging an amount of weight equal to `delta`.
The final graph is saved in the file `bbv_10000_3_5_1.0_0.5.txt`

(notice the STDOUT redirection operator `>`

).

A. Barrat, M. Barthelemy, and A. Vespignani. "Weighted Evolving Networks: Coupling Topology and Weight Dynamics". Phys. Rev. Lett. 92 (2004), 228701.

A. Barrat, M. Barthelemy, and A. Vespignani. "Modeling the evolution of weighted networks". Phys. Rev. E 70 (2004), 066149.

V. Latora, V. Nicosia, G. Russo, "Complex Networks: Principles, Methods and Applications", Chapter 6, Cambridge University Press (2017)

V. Latora, V. Nicosia, G. Russo, "Complex Networks: Principles, Methods and Applications", Appendix 13, Cambridge University Press (2017)

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

.

- www.complex-networks.net
- September 2017
- bbv(1)