% Generated by roxygen2: do not edit by hand
% Please edit documentation in R/centrality.R
\name{reaching_global}
\alias{reaching_global}
\title{Global Reaching Centrality (Mones, Vicsek & Vicsek 2012)}
\usage{
reaching_global(x, mode = "all", ...)
}
\arguments{
\item{x}{Network input (matrix, igraph, network, cograph_network, tna object).}

\item{mode}{For directed networks: \code{"all"} (default), \code{"in"}, or
\code{"out"}.}

\item{...}{Additional arguments passed to \code{\link{centrality_reaching_local}}.}
}
\value{
A single numeric value in \eqn{[0, 1]}.
}
\description{
A graph-level hierarchy measure computed from per-node local reaching
centralities:
\deqn{GRC(G) = \frac{1}{N - 1} \sum_v \left( \max_u LRC(u) - LRC(v) \right)}
}
\details{
Values close to 0 indicate a flat network (all nodes reach equal
proportions of the graph); values close to 1 indicate strong hierarchical
structure. Matches \code{networkx.global_reaching_centrality} exactly.
}
\examples{
# Star graph: highly hierarchical (directed out from center)
adj <- matrix(0, 5, 5)
adj[1, 2:5] <- 1
rownames(adj) <- colnames(adj) <- LETTERS[1:5]
reaching_global(adj, mode = "out")
}
\references{
Mones, E., Vicsek, L., & Vicsek, T. (2012). Hierarchy measure for complex
networks. \emph{PLoS ONE}, 7(3), e33799.
}
\seealso{
\code{\link{centrality_reaching_local}}, \code{\link{summarize_network}}.
}
