centrality_alpha: Alpha (Katz) Centrality

In cograph: Analysis and Visualization of Complex Networks

Alpha (Katz) Centrality

Description

Influence via all paths penalized by distance. Similar to eigenvector centrality but includes an exogenous contribution, making it well-defined even for directed acyclic graphs.

Usage

centrality_alpha(x, mode = "all", ...)

Arguments

x	Network input (matrix, igraph, network, cograph_network, tna object).
mode	For directed networks: "all" (default), "in", or "out".
...	Additional arguments passed to centrality (e.g., normalized, weighted, directed).

Value

Named numeric vector of alpha centrality values.

See Also

centrality for computing multiple measures at once, centrality_eigenvector for a related measure.

Examples

adj <- matrix(c(0, 1, 1, 1, 0, 1, 1, 1, 0), 3, 3)
rownames(adj) <- colnames(adj) <- c("A", "B", "C")
centrality_alpha(adj)

cograph documentation built on April 1, 2026, 1:07 a.m.