centr_betw_comm calculates the communicability betweenness of
the vertices of a graph. The centrality for vertex r is
$$\omega_r = \frac{1}{C} \sum_p \sum_q \frac{(e^{\mathbf{A}})_{pq} -
(e^{\mathbf{A} + \mathbf{E}(r)})_{pq}}{(e^{\mathbf{A}})_{pq}}$$
where \(C = (n - 1)^2 - (n - 1)\) is a normalization factor.
centr_betw_comm(g, A = NULL)An igraph graph object
Numeric matrix, the graph's adjacency matrix (default: NULL)
A numeric vector of the centrality for each vertex
Estrada E., Higham D.J., Hatano N. (2009) Communicability betweenness in complex networks. Physica A, 388:764-774.
Other Centrality functions: centr_lev