igraph (version 1.0.0)

centr_betw: Centralize a graph according to the betweenness of vertices

Description

See centralize for a summary of graph centralization.

Usage

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

Arguments

graph

The input graph.

directed

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

nobigint

Logical scalar, whether to use big integers for the betweenness calculation. This argument is passed to the betweenness function.

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, centralization.betweenness.tmax; centr_clo_tmax, centralization.closeness.tmax; centr_clo, centralization.closeness; centr_degree_tmax, centralization.degree.tmax; centr_degree, centralization.degree; centr_eigen_tmax, centralization.evcent.tmax; centr_eigen, centralization.evcent; centralization, centralize, centralize.scores

Examples

# A BA graph is quite centralized
g <- sample_pa(1000, m = 4)
centr_degree(g)$centralization
centr_clo(g, mode = "all")$centralization
centr_betw(g, directed = FALSE)$centralization
centr_eigen(g, directed = FALSE)$centralization