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brainGraph (version 1.0.0)

rich_core: Calculate the rich core of a graph

Description

This function finds the boundary of the rich core of a graph, based on the decreasing order of vertex degree. It also calculates the degree that corresponds to that rank, and the core size relative to the total number of vertices in the graph.

Usage

rich_core(g)

Arguments

g
An igraph graph object

Value

A data frame with the following components:
density
The density of the graph.
rank
The rank of the boundary for the rich core.
k.r
The degree of the vertex at the boundary.
core.size
The size of the core relative to the graph size.

References

Ma A \& Mondragon R.J. (2015) Rich-cores in networks. PLoS One, 10(3): e0119678. doi:10.1371/journal.pone.0119678

See Also

Other Rich-club functions: plot_rich_norm, rich_club_attrs, rich_club_coeff, rich_club_norm