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Construction of phylogenetic trees has traditionally focused on binary trees where all species appear on leaves, a problem for which numerous efficient solutions have been developed. Certain application domains though, such as viral…

Data Structures and Algorithms · Computer Science 2016-11-01 Dimitris Papamichail , Angela Huang , Andrew Miller , Edward Kennedy , Jan-Lucas Ott , Georgios Papamichail

Phylogenetic networks are increasingly used in evolutionary biology to represent the history of species that have undergone reticulate events such as horizontal gene transfer, hybrid speciation and recombination. One of the most fundamental…

Populations and Evolution · Quantitative Biology 2016-10-07 Philippe Gambette , Leo van Iersel , Steven Kelk , Fabio Pardi , Celine Scornavacca

Pedigrees, or family trees, are graphs of family relationships that are used to study inheritance. A fundamental problem in computational biology is to find, for a pedigree with $n$ individuals genotyped at every site, a set of…

Data Structures and Algorithms · Computer Science 2016-02-16 Bonnie Kirkpatrick

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 phylogenetic tree, called the base tree, by adding additional…

Populations and Evolution · Quantitative Biology 2019-11-28 Mareike Fischer , Michelle Galla , Lina Herbst , Yangjing Long , Kristina Wicke

Semi-directed networks are partially directed graphs that model evolution where the directed edges represent reticulate evolutionary events. We present an algorithm that reconstructs binary $n$-leaf semi-directed level-1 networks in $O(…

Populations and Evolution · Quantitative Biology 2025-07-24 Martin Frohn , Niels Holtgrefe , Leo van Iersel , Mark Jones , Steven Kelk

We present the first sub-quadratic time algorithm that with high probability correctly reconstructs phylogenetic trees for short sequences generated by a Markov model of evolution. Due to rapid expansion in sequence databases, such very…

Populations and Evolution · Quantitative Biology 2012-06-01 Daniel G. Brown , Jakub Truszkowski

Phylogenetic networks are generalizations of phylogenetic trees that allow the representation of reticulation events such as horizontal gene transfer or hybridization, and can also represent uncertainty in inference. A subclass of these,…

Populations and Evolution · Quantitative Biology 2019-10-15 Mareike Fischer , Andrew Francis

We consider the problem of estimating the evolutionary history of a set of species (phylogeny or species tree) from several genes. It is known that the evolutionary history of individual genes (gene trees) might be topologically distinct…

Populations and Evolution · Quantitative Biology 2016-11-18 Gautam Dasarathy , Robert Nowak , Sebastien Roch

Evolutionary relationships between species are usually inferred through phylogenetic analysis, which provides phylogenetic trees computed from allelic profiles built by sequencing specific regions of the sequences and abstracting them to…

Data Structures and Algorithms · Computer Science 2021-01-01 Luana Silva

The ongoing explosion of genome sequence data is transforming how we reconstruct and understand the histories of biological systems. Across biological scales, from individual cells to populations and species, trees-based models provide a…

Populations and Evolution · Quantitative Biology 2025-12-08 Yun Deng , Shing H. Zhan , Yulin Zhang , Chao Zhang , Bingjie Chen

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 optimization criteria like, e.g., maximum parsimony (MP).…

Populations and Evolution · Quantitative Biology 2025-06-11 Mirko Wilde , Mareike Fischer

Phylogenetic trees are leaf-labelled trees used to model the evolution of species. In practice it is not uncommon to obtain two topologically distinct trees for the same set of species, and this motivates the use of distance measures to…

Data Structures and Algorithms · Computer Science 2026-03-24 David Mestel , Steven Chaplick , Steven Kelk , Ruben Meuwese

Reticulate evolution gives rise to complex phylogenetic networks, making their interpretation challenging. A typical approach is to extract trees within such networks. Since Francis and Steel's seminal paper, "Which Phylogenetic Networks…

Combinatorics · Mathematics 2025-05-20 Takatora Suzuki , Momoko Hayamizu

Phylogenetic networks provide a way to describe and visualize evolutionary histories that have undergone so-called reticulate evolutionary events such as recombination, hybridization or horizontal gene transfer. The level k of a network…

Populations and Evolution · Quantitative Biology 2008-07-21 Leo van Iersel , Steven Kelk , Matthias Mnich

Structural information of phylogenetic tree topologies plays an important role in phylogenetic inference. However, finding appropriate topological structures for specific phylogenetic inference tasks often requires significant design effort…

Machine Learning · Statistics 2023-02-20 Cheng Zhang

Many popular algorithms for searching the space of leaf-labelled trees are based on tree rearrangement operations. Under any such operation, the problem is reduced to searching a graph where vertices are trees and (undirected) edges are…

Data Structures and Algorithms · Computer Science 2020-07-27 Lena Collienne , Alex Gavryushkin

Phylogenetics begins with reconstructing biological family trees from genetic data. Since Nature is not limited to tree-like histories, we use networks to organize our data, and have discovered new polytopes, metric spaces, and simplicial…

Combinatorics · Mathematics 2019-05-28 Satyan Devadoss , Cassandra Durell , Stefan Forcey

The statistical estimation of phylogenies is always associated with uncertainty, and accommodating this uncertainty is an important component of modern phylogenetic comparative analysis. The birth-death polytomy resolver is a method of…

Quantitative Methods · Quantitative Biology 2015-03-18 Daniel L. Rabosky

Sequence comparison and alignment has had an enormous impact on our understanding of evolution, biology, and disease. Comparison and alignment of biological networks will likely have a similar impact. Existing network alignments use…

Molecular Networks · Quantitative Biology 2009-10-08 Oleksii Kuchaiev , Tijana Milenkovic , Vesna Memisevic , Wayne Hayes , Natasa Przulj

The evolutionary relationships among organisms have traditionally been represented using rooted phylogenetic trees. However, due to reticulate processes such as hybridization or lateral gene transfer, evolution cannot always be adequately…

Populations and Evolution · Quantitative Biology 2022-01-20 Sungsik Kong , Joan Carles Pons , Laura Kubatko , Kristina Wicke