centr_betw: Centralize a graph according to the betweenness of vertices

In igraph: Network Analysis and Visualization

Centralize a graph according to the betweenness of vertices

Description

See centralize() for a summary of graph centralization.

Usage

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)$centralization
centr_clo(g, mode = "all")$centralization
centr_betw(g, directed = FALSE)$centralization
centr_eigen(g, directed = FALSE)$centralization

igraph documentation built on Feb. 12, 2026, 5:08 p.m.