centr_betw_comm: Calculate communicability betweenness centrality

Description Usage Arguments Value Author(s) References See Also

View source: R/communicability.R

Description

centr_betw_comm calculates the communicability betweenness of the vertices of a graph. The centrality for vertex r is

ω_r = \frac{1}{C} ∑_p ∑_q \frac{(e^{\mathbf{A}})_{pq} - (e^{\mathbf{A} + \mathbf{E}(r)})_{pq}}{(e^{\mathbf{A}})_{pq}}

where C = (n - 1)^2 - (n - 1) is a normalization factor.

Usage

1

Arguments

g

An igraph graph object

A

Numeric matrix, the graph's adjacency matrix (default: NULL)

Value

A numeric vector of the centrality for each vertex

Author(s)

Christopher G. Watson, [email protected]

References

Estrada E., Higham D.J., Hatano N. (2009) Communicability betweenness in complex networks. Physica A, 388:764-774.

See Also

Other Centrality functions: centr_lev


brainGraph documentation built on May 29, 2018, 9:03 a.m.