rich_club_coeff: Calculate the rich club of a graph
Description
This function calculates the rich club of a graph, both the
coefficient \(\phi\) and the nodes that make up this subgraph.
Usage
rich_club_coeff(g, k = 1, weighted = FALSE)
Arguments
g
An igraph graph object
k
Integer; the minimum degree for including a vertex (default: 1)
weighted
Logical indicating whether or not edge weights should be
used (default: FALSE)
Value
A list with the following components:
phi
The rich club coefficient, \(\phi\).
graph
A subgraph containing only the rich club nodes.
Nk
The number of vertices in the rich club graph.
Ek
The number of edges in the rich club graph.
References
Zhou S., Mondragon R.J. (2004) The rich-club phenomenon
in the internet topology. IEEE Comm Lett, 8:180-182. Opsahl T., Colizza V., Panzarasa P., Ramasco J.J. (2008)
Prominence and control: the weighted rich-club effect. Physical Review
Letters, 101.16:168702.