# Betweenness centrality in a weighted network

### Description

This function calculates betweenness scores for nodes in a weighted network based on the distance_w-function.

Note: This algorithm relies on the igraphs package's implementation of Dijkstra's algorithm. Currently, it does not find multiple shortest paths if two exist.

### Usage

1 | ```
betweenness_w(net, directed=NULL, alpha=1)
``` |

### Arguments

`net` |
A weighted edgelist |

`directed` |
logical, whether the network is directed or undirected. Default is NULL, this means that the function checks whether the edgelist is directed or not. |

`alpha` |
sets the alpha parameter in the generalised measures from Opsahl, T., Agneessens, F., Skvoretz, J., 2010. Node Centrality in Weighted Networks: Generalizing Degree and Shortest Paths. Social Networks. If this parameter is set to 1 (default), the Dijkstra shortest paths are used. The length of these paths rely simply on the tie weights and disregards the number of nodes on the paths. |

### Value

Returns a data.frame with two columns: the first column contains the nodes' ids, and the second column contains the nodes' betweenness scores.

### Note

version 1.0.0

### Author(s)

Tore Opsahl; http://toreopsahl.com

### References

http://toreopsahl.com/2009/02/20/betweenness-in-weighted-networks/

### Examples

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