Table 1.

Notation used throughout this article

Properties of a node
	Out-degree
	Set of children
	Depth
	Size
	Subtree rooted at
	Number of leaves of
	Magnitude of (sum of node sizes)
	Magnitude of excluding its root
	Importance factor
	, where
	Balance score
	Balance score based on
	Nonroot dominance factor
Sets of nodes
	All nodes
	Internal nodes such that
	Leaves
Entropies and tree balance indices
	Generalized entropy with parameter
	Shannon entropy with base
	Sackin’s index
	Colless’ index
	Total cophenetic index
	Colless-like index
	Generalized Sackin’s index
	Generalized Colless’ index
	Tree balance index based on
	Normalized inverse Sackin index
	A conservative tree balance index