[HTML][HTML] Sound Colless-like balance indices for multifurcating trees
The Colless index is one of the most popular and natural balance indices for bifurcating
phylogenetic trees, but it makes no sense for multifurcating trees. In this paper we propose a�…
phylogenetic trees, but it makes no sense for multifurcating trees. In this paper we propose a�…
Squaring within the Colless index yields a better balance index
The Colless index for bifurcating phylogenetic trees, introduced by Colless (1982), is defined
as the sum, over all internal nodes v of the tree, of the absolute value of the difference of the�…
as the sum, over all internal nodes v of the tree, of the absolute value of the difference of the�…
[HTML][HTML] On Sackin's original proposal: the variance of the leaves' depths as a phylogenetic balance index
Abstract Background The Sackin index S of a rooted phylogenetic tree, defined as the sum
of its leaves' depths, is one of the most popular balance indices in phylogenetics, and�…
of its leaves' depths, is one of the most popular balance indices in phylogenetics, and�…
On the minimum value of the Colless index and the bifurcating trees that achieve it
Measures of tree balance play an important role in the analysis of phylogenetic trees. One of
the oldest and most popular indices in this regard is the Colless index for rooted bifurcating�…
the oldest and most popular indices in this regard is the Colless index for rooted bifurcating�…
Robust, universal tree balance indices
J Lemant, C Le Sueur, V Manojlović…�- Systematic�…, 2022 - academic.oup.com
Balance indices that quantify the symmetry of branching events and the compactness of
trees are widely used to compare evolutionary processes or tree-generating algorithms. Yet�…
trees are widely used to compare evolutionary processes or tree-generating algorithms. Yet�…
The index of galled trees
F Bienvenu, JJ Duchamps, M Fuchs, TC Yu�- arXiv preprint arXiv�…, 2024 - arxiv.org
In recent years, there has been an effort to extend the classical notion of phylogenetic
balance, originally defined in the context of trees, to networks. One of the most natural ways�…
balance, originally defined in the context of trees, to networks. One of the most natural ways�…
A new balance index for phylogenetic trees
A Mir, F Rossell��- Mathematical biosciences, 2013 - Elsevier
Several indices that measure the degree of balance of a rooted phylogenetic tree have been
proposed so far in the literature. In this work we define and study a new index of this kind�…
proposed so far in the literature. In this work we define and study a new index of this kind�…
The mean, variance and limiting distribution of two statistics sensitive to phylogenetic tree balance
MGB Blum, O Fran�ois, S Janson - 2006 - projecteuclid.org
For two decades, the Colless index has been the most frequently used statistic for assessing
the balance of phylogenetic trees. In this article, this statistic is studied under the Yule and�…
the balance of phylogenetic trees. In this article, this statistic is studied under the Yule and�…
A balance index for phylogenetic trees based on quartets
We define a new balance index for phylogenetic trees based on the symmetry of the
evolutive history of every quartet of leaves. This index makes sense for polytomic trees and it�…
evolutive history of every quartet of leaves. This index makes sense for polytomic trees and it�…
Tree Balance Indices: A Comprehensive Survey
Whether you are looking for an introduction to the field of tree balance, a reference work on
the multitude of available balance indices or inspiration for your future research, this book�…
the multitude of available balance indices or inspiration for your future research, this book�…