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% Generated by roxygen2 (4.1.1): do not edit by hand
% Please edit documentation in R/centralization.R
\name{centr_betw}
\alias{centr_betw}
\alias{centralization.betweenness}
\title{Centralize a graph according to the betweenness of vertices}
\usage{
centr_betw(graph, directed = TRUE, nobigint = TRUE, normalized = TRUE)
}
\arguments{
\item{graph}{The input graph.}
\item{directed}{logical scalar, whether to use directed shortest paths for
calculating betweenness.}
\item{nobigint}{Logical scalar, whether to use big integers for the
betweenness calculation. This argument is passed to the
\code{\link{betweenness}} function.}
\item{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:
\item{res}{The node-level centrality scores.}
\item{centralization}{The graph level centrality index.}
\item{theoretical_max}{The maximum theoretical graph level
centralization score for a graph with the given number of vertices,
using the same parameters. If the \code{normalized} argument was
\code{TRUE}, then the result was divided by this number.}
}
\description{
See \code{\link{centralize}} for a summary of graph centralization.
}
\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
}
\seealso{
Other centralization related: \code{\link{centr_betw_tmax}},
\code{\link{centralization.betweenness.tmax}};
\code{\link{centr_clo_tmax}},
\code{\link{centralization.closeness.tmax}};
\code{\link{centr_clo}},
\code{\link{centralization.closeness}};
\code{\link{centr_degree_tmax}},
\code{\link{centralization.degree.tmax}};
\code{\link{centr_degree}},
\code{\link{centralization.degree}};
\code{\link{centr_eigen_tmax}},
\code{\link{centralization.evcent.tmax}};
\code{\link{centr_eigen}},
\code{\link{centralization.evcent}};
\code{\link{centralization}}, \code{\link{centralize}},
\code{\link{centralize.scores}}
}
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