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)
Arguments
- phy
phylo object or ltable
- weight
if TRUE, uses branch lengths.
- scale
if TRUE, the eigenvector is rescaled
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.