17 citations · 22 across the 17 of their papers we have counts for
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Enumerating monophyletic characters in mathematical phylogenetics
Mareike Fischer, Michael Hendriksen, Kristina Wicke
Grouping species according to their phylogenetic relationships often results in different groups than grouping them according to their shared traits. Monophyletic groups play an im…
A height-based metaconcept for rooted tree balance and its implications for the index
Mareike Fischer, Tom Niklas Hamann, Kristina Wicke
Tree balance has received considerable attention in recent years, both in phylogenetics and in other areas. Numerous (im)balance indices have been proposed to quantify the (im)bala…
Metaconcepts of rooted tree balance
Mareike Fischer, Tom Niklas Hamann, Kristina Wicke
Measures of tree balance play an important role in many different research areas such as mathematical phylogenetics or theoretical computer science. Typically, tree balance is quan…
Tree balance in phylogenetic models
Sophie J. Kersting, Kristina Wicke, Mareike Fischer
Tree shape statistics, particularly measures of tree (im)balance, play an important role in the analysis of the shape of phylogenetic trees. With applications ranging from testing…
The weighted total cophenetic index: A novel balance index for phylogenetic networks
Linda Knüver, Mareike Fischer, Marc Hellmuth +1
Phylogenetic networks play an important role in evolutionary biology as, other than phylogenetic trees, they can be used to accommodate reticulate evolutionary events such as horiz…
How far is my network from being edge-based? Proximity measures for edge-basedness of unrooted phylogenetic networks
Mareike Fischer, Tom Niklas Hamann, Kristina Wicke
Phylogenetic networks which are, as opposed to trees, suitable to describe processes like hybridization and horizontal gene transfer, play a substantial role in evolutionary resear…
Effects of discordance between species and gene trees on phylogenetic diversity conservation
Kristina Wicke, Mareike Fischer, Laura Kubatko
Phylogenetic diversity indices such as the Fair Proportion (FP) index are frequently discussed as prioritization criteria in biodiversity conservation. They rank species according…
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…
Classes of Explicit Phylogenetic Networks and their Biological and Mathematical Significance
Sungsik Kong, Joan Carles Pons, Laura Kubatko +1
The evolutionary relationships among organisms have traditionally been represented using rooted phylogenetic trees. However, due to reticulate processes such as hybridization or la…
On the Complexity of Optimising Variants of Phylogenetic Diversity on Phylogenetic Networks
Magnus Bordewich, Charles Semple, Kristina Wicke
Phylogenetic Diversity (PD) is a prominent quantitative measure of the biodiversity of a collection of present-day species (taxa). This measure is based on the evolutionary distanc…
Phylogenetic Diversity Rankings in the Face of Extinctions: the Robustness of the Fair Proportion Index
Mareike Fischer, Andrew Francis, Kristina Wicke
Planning for the protection of species often involves difficult choices about which species to prioritize, given constrained resources. One way of prioritizing species is to consid…
Non-binary universal tree-based networks
Mareike Fischer, Michelle Galla, Kristina Wicke
A tree-based network on is called universal if every phylogenetic tree on is a base tree for . Recently, binary universal tree-based networks have attracted great at…
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…
Combinatorial properties of phylogenetic diversity indices
Kristina Wicke, Mike Steel
Phylogenetic diversity indices provide a formal way to apportion 'evolutionary heritage' across species. Two natural diversity indices are Fair Proportion (FP) and Equal Splits (ES…
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…
Combinatorial views on persistent characters in phylogenetics
Kristina Wicke, Mareike Fischer
The so-called binary perfect phylogeny with persistent characters has recently been thoroughly studied in computational biology as it is less restrictive than the well known binary…
On the Shapley value of unrooted phylogenetic trees
Kristina Wicke, Mareike Fischer
The Shapley value, a solution concept from cooperative game theory, has recently been considered for both unrooted and rooted phylogenetic trees. Here, we focus on the Shapley valu…
Phylogenetic diversity and biodiversity indices on phylogenetic networks
Kristina Wicke, Mareike Fischer
In biodiversity conservation it is often necessary to prioritize the species to conserve. Existing approaches to prioritization, e.g. the Fair Proportion Index and the Shapley Valu…
Comparing the rankings obtained from two biodiversity indices: the Fair Proportion Index and the Shapley Value
Kristina Wicke, Mareike Fischer
The Shapley Value and the Fair Proportion Index of phylogenetic trees have been frequently discussed as prioritization tools in conservation biology. Both indices rank species acco…