rich_club_local: Local Rich Club Score

In cograph: Analysis and Visualization of Complex Networks

Local Rich Club Score

Description

For each node, measures whether it preferentially directs its strongest ties toward prominent nodes. A score > 1 means the node's ties to prominent nodes are stronger than average.

Usage

rich_club_local(
  x,
  prominence = NULL,
  rich = c("k", "s"),
  directed = NULL,
  digits = NULL,
  sort_by = "score",
  ...
)

Arguments

x	Network input: matrix, igraph, network, cograph_network, or tna object.
prominence	Integer or logical vector indicating which nodes are prominent (1/TRUE = prominent), OR a numeric threshold. If NULL, nodes above median degree (or strength) are prominent.
rich	Character. "k" (degree, default) or "s" (strength). Used when prominence is NULL or a threshold.
directed	Logical or NULL. Default NULL (auto-detect).
digits	Integer or NULL. Round scores. Default NULL.
sort_by	Character or NULL. Column to sort by (descending). Default "score".
...	Additional arguments passed to to_igraph.

Details

For each node i: r_i = \bar{w}_{i \to rich} / \bar{w}_i

Value

A data frame with columns node and score, sorted by score descending. Values > 1 indicate the node directs disproportionately strong ties to prominent nodes.

References

Opsahl, T., Colizza, V., Panzarasa, P. & Ramasco, J.J. (2008). Prominence and control: The weighted rich-club effect. Physical Review Letters, 101, 168702.

See Also

rich_club, centrality

Examples

adj <- matrix(c(0,5,3,1, 5,0,4,2, 3,4,0,1, 1,2,1,0), 4, 4)
rownames(adj) <- colnames(adj) <- c("A", "B", "C", "D")
cograph::rich_club_local(adj, prominence = c(1, 1, 0, 0))

cograph documentation built on May 31, 2026, 5:06 p.m.