17 citations · 17 across the 6 of their papers we have counts for
9 papers
Tree balance indices: a comprehensive survey
Mareike Fischer, Lina Herbst, Sophie Kersting +2
Tree balance plays an important role in phylogenetics and other research areas, which is why several indices to measure tree balance have been introduced over the years. Neverthele…
On the minimum value of the Colless index and the bifurcating trees that achieve it
Tomás M. Coronado, Mareike Fischer, Lina Herbst +2
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 bif…
Extremal properties of the Colless balance index for rooted binary trees
Mareike Fischer, Lina Herbst, Kristina Wicke
Measures of tree balance play an important role in various research areas, for example in phylogenetics. There they are for instance used to test whether an observed phylogenetic t…
Unrooted non-binary tree-based phylogenetic networks
Mareike Fischer, Michelle Galla, Lina Herbst +2
Phylogenetic networks are a generalization of phylogenetic trees allowing for the representation of non-treelike evolutionary events such as hybridization. Typically, such networks…
Classes of treebased networks
Mareike Fischer, Michelle Galla, Lina Herbst +2
Recently, so-called treebased phylogenetic networks have gained considerable interest in the literature, where a treebased network is a network that can be constructed from a phylo…
Quantifying the accuracy of ancestral state prediction in a phylogenetic tree under maximum parsimony
Lina Herbst, Thomas Li, Mike Steel
In phylogenetic studies, biologists often wish to estimate the ancestral discrete character state at an interior vertex of an evolutionary tree from the states that are obs…
On the accuracy of ancestral sequence reconstruction for ultrametric trees with parsimony
Lina Herbst, Mareike Fischer
We examine a mathematical question concerning the reconstruction accuracy of the Fitch algorithm for reconstructing the ancestral sequence of the most recent common ancestor given…
Ancestral sequence reconstruction with Maximum Parsimony
Lina Herbst, Mareike Fischer
One of the main aims in phylogenetics is the estimation of ancestral sequences based on present-day data like, for instance, DNA alignments. One way to estimate the data of the las…
The most parsimonious tree for random data
Mareike Fischer, Michelle Galla, Lina Herbst +1
Applying a method to reconstruct a phylogenetic tree from random data provides a way to detect whether that method has an inherent bias towards certain tree `shapes'. For maximum p…