eigen_centrality: Eigen vector centrality

In treestats: Phylogenetic Tree Statistics

Eigen vector centrality

Description

Eigen vector centrality associates with each node v the positive value e(v), such that: \sum_{e}^v w(uv) * e(u) = \lambda * e(v) . Thus, e(v) is the Perron-Frobenius eigenvector of the adjacency matrix of the tree.

Usage

eigen_centrality(phy, weight = TRUE, scale = FALSE, use_rspectra = TRUE)

Arguments

phy	phylo object or ltable
weight	if TRUE, uses branch lengths.
scale	if TRUE, the Eigenvector is rescaled
use_rspectra	boolean to indicate whether the helping package RSpectra should be used, which is faster, but returns fewer eigen values.

Value

List with the Eigen vector and the leading Eigen value

References

Chindelevitch, Leonid, et al. "Network science inspires novel tree shape statistics." Plos one 16.12 (2021): e0259877.

treestats documentation built on Aug. 24, 2026, 5:09 p.m.