Centralize a graph according to the betweenness of vertices

See centralize() for a summary of graph centralization.

centr_betw(graph, directed = TRUE, normalized = TRUE)

Arguments

graph

The input graph.

directed

logical scalar, whether to use directed shortest paths for calculating betweenness.

normalized

Logical scalar. Whether to normalize the graph level centrality score by dividing by the theoretical maximum.

Value

A named list with the following components:

res

The node-level centrality scores.

centralization

The graph level centrality index.

theoretical_max

The maximum theoretical graph level centralization score for a graph with the given number of vertices, using the same parameters. If the normalized argument was TRUE, then the result was divided by this number.

See also

Other centralization related: centr_betw_tmax(), centr_clo(), centr_clo_tmax(), centr_degree(), centr_degree_tmax(), centr_eigen(), centr_eigen_tmax(), centralize()

Examples

# A BA graph is quite centralized
g <- sample_pa(1000, m = 4)
centr_degree(g)$centralization
#> [1] 0.1618335
centr_clo(g, mode = "all")$centralization
#> [1] 0.437051
centr_betw(g, directed = FALSE)$centralization
#> [1] 0.2764392
centr_eigen(g, directed = FALSE)$centralization
#> [1] 0.9486925