wiener {treestats}

Wiener index

Description

The Wiener index is defined as the sum of all shortest path lengths between pairs of nodes in a tree.

Usage

wiener(phy, normalization = FALSE, weight = TRUE)

Arguments

phy

phylo object or ltable

normalization

if TRUE, the Wiener index is normalized by the number of nodes, e.g. by choose(n, 2), where n is the number of nodes.

weight

if TRUE, branch lenghts are used.

Value

Wiener index

References

Chindelevitch, Leonid, et al. "Network science inspires novel tree shape statistics." Plos one 16.12 (2021): e0259877. Mohar, B., Pisanski, T. How to compute the Wiener index of a graph. J Math Chem 2, 267–277 (1988)