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)A numeric vector of the centrality for each vertex
An igraph graph object
Numeric matrix; the adjacency matrix of the input graph. Default:
NULL
Christopher G. Watson, cgwatson@bu.edu
Estrada, E. and Higham, D.J. and Hatano N. (2009) Communicability betweenness in complex networks. Physica A, 388, 764--774. tools:::Rd_expr_doi("10.1016/j.physa.2008.11.011")
Other Centrality functions: centr_lev