5 papers
Colorings of unrooted tree-based networks and related graphs
Mirko Wilde, Mareike Fischer
In mathematical phylogenetics, evolutionary relationships are often represented by trees and networks. The latter are typically used whenever the relationships cannot be adequately…
Assessing 3D tree model quality and species classification using imbalance indices
Sophie J. Kersting, Mareike Fischer
We investigate the use of additional 3D and phylogenetic non-3D tree balance indices for analyzing and monitoring forests using an exemplary "virtual forest" dataset from the Wytha…
A strengthened bound on the number of states required to characterize maximum parsimony distance
Mareike Fischer, Steven Kelk, Sofia Vazquez Alferez
In this article we prove that the distance between two unrooted binary phylogenetic trees on the same set of taxa can be defined by a char…
A complete characterization of pairs of binary phylogenetic trees with identical -alignments
Mirko Wilde, Mareike Fischer
Phylogenetic trees play a key role in the reconstruction of evolutionary relationships. Typically, they are derived from aligned sequence data (like DNA, RNA, or proteins) by using…
On the correctness of Maximum Parsimony for data with few substitutions in the NNI neighborhood of phylogenetic trees
Mareike Fischer
Estimating phylogenetic trees, which depict the relationships between different species, from aligned sequence data (such as DNA, RNA, or proteins) is one of the main aims of evolu…