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A rearrangement operation makes a small graph-theoretical change to a phylogenetic network to transform it into another one. For unrooted phylogenetic trees and networks, popular rearrangement operations are tree bisection and reconnection…

组合数学 · 数学 2023-06-22 Jonathan Klawitter

Agreement forests continue to play a central role in the comparison of phylogenetic trees since their introduction more than 25 years ago. More specifically, they are used to characterise several distances that are based on tree…

组合数学 · 数学 2025-09-23 Steven Kelk , Simone Linz , Charles Semple

Phylogenetic networks are rooted directed acyclic graphs that represent evolutionary relationships between species whose past includes reticulation events such as hybridisation and horizontal gene transfer. To search the space of…

组合数学 · 数学 2019-04-09 Jonathan Klawitter , Simone Linz

Rearrangement operations transform a phylogenetic tree into another one and hence induce a metric on the space of phylogenetic trees. Popular operations for unrooted phylogenetic trees are NNI (nearest neighbour interchange), SPR (subtree…

组合数学 · 数学 2019-12-24 Remie Janssen , Jonathan Klawitter

Phylogenetic trees are leaf-labelled trees, where the leaves correspond to extant species (taxa), and the internal vertices represent ancestral species. The evolutionary history of a set of species can be explained by more than one…

数据结构与算法 · 计算机科学 2016-09-07 Asish Mukhopadhyay , Puspal Bhabak

This paper introduces constNJ, the first algorithm for phylogenetic reconstruction of sets of trees with constrained pairwise rooted subtree-prune regraft (rSPR) distance. We are motivated by the problem of constructing sets of trees which…

种群与进化 · 定量生物学 2009-09-30 Frederick A. Matsen

The subtree prune-and-regraft (SPR) distance metric is a fundamental way of comparing evolutionary trees. It has wide-ranging applications, such as to study lateral genetic transfer, viral recombination, and Markov chain Monte Carlo…

数据结构与算法 · 计算机科学 2017-11-07 Chris Whidden , Frederick A. Matsen

Network rearrangement operations like SNPR (SubNet Prune and Regraft), a recent generalisation of rSPR (rooted Subtree Prune and Regraft), induce a metric on phylogenetic networks. To search the space of these networks one important…

组合数学 · 数学 2018-10-17 Jonathan Klawitter

The rooted subtree prune and regraft (rSPR) distance between two rooted binary phylogenetic trees is a well-studied measure of topological dissimilarity that is NP-hard to compute. Here we describe an improved linear kernel for the problem.…

数据结构与算法 · 计算机科学 2023-08-21 Steven Kelk , Simone Linz , Ruben Meuwese

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…

数据结构与算法 · 计算机科学 2026-03-24 David Mestel , Steven Chaplick , Steven Kelk , Ruben Meuwese

There are multiple factors which can cause the phylogenetic inference process to produce two or more conflicting hypotheses of the evolutionary history of a set X of biological entities. That is: phylogenetic trees with the same set of leaf…

数据结构与算法 · 计算机科学 2023-09-06 Virginia Aardevol Martinez , Steven Chaplick , Steven Kelk , Ruben Meuwese , Matus Mihalak , Georgios Stamoulis

The subtree prune-and-regraft (SPR) distance metric is a fundamental way of comparing evolutionary trees. It has wide-ranging applications, such as to study lateral genetic transfer, viral recombination, and Markov chain Monte Carlo…

离散数学 · 计算机科学 2016-11-09 Chris Whidden , Frederick A. Matsen

Tree rearrangements such as Nearest Neighbor Interchange (NNI) and Subtree Prune and Regraft (SPR) are commonly used to explore phylogenetic treespace. Computing distances based on them, however, is often intractable, so the efficiently…

种群与进化 · 定量生物学 2025-12-29 Lena Collienne , Frederick A Matsen

Popular methods for exploring the space of rooted phylogenetic trees use rearrangement moves such as rNNI (rooted Nearest Neighbour Interchange) and rSPR (rooted Subtree Prune and Regraft). Recently, these moves were generalized to rooted…

组合数学 · 数学 2021-01-01 Remie Janssen , Mark Jones , Péter L. Erdős , Leo van Iersel , Celine Scornavacca

Phylogenetic trees are leaf-labelled trees used to model the evolution of species. Here we explore the practical impact of kernelization (i.e. data reduction) on the NP-hard problem of computing the TBR distance between two unrooted binary…

数据结构与算法 · 计算机科学 2023-08-21 Rim van Wersch , Steven Kelk , Simone Linz , Georgios Stamoulis

In this paper, we lay the groundwork on the comparison of phylogenetic networks based on edge contractions and expansions as edit operations, as originally proposed by Robinson and Foulds to compare trees. We prove that these operations…

数据结构与算法 · 计算机科学 2025-02-21 Bertrand Marchand , Nadia Tahiri , Olivier Tremblay-Savard , Manuel Lafond

Due to hybridization events in evolution, studying two different genes of a set of species may yield two related but different phylogenetic trees for the set of species. In this case, we want to measure the dissimilarity of the two trees.…

数据结构与算法 · 计算机科学 2017-07-28 Zhi-Zhong Chen , Eita Machida , Lusheng Wang

We describe a kernel of size 9k-8 for the NP-hard problem of computing the Tree Bisection and Reconnect (TBR) distance k between two unrooted binary phylogenetic trees. We achieve this by extending the existing portfolio of reduction rules…

数据结构与算法 · 计算机科学 2022-09-21 Steven Kelk , Simone Linz , Ruben Meuwese

In phylogenetics, distances are often used to measure the incongruence between a pair of phylogenetic trees that are reconstructed by different methods or using different regions of genome. Motivated by the maximum parsimony principle in…

种群与进化 · 定量生物学 2016-07-08 Steven Kelk , Mareike Fischer , Vincent Moulton , Taoyang Wu

We give a 2-approximation algorithm for the Maximum Agreement Forest problem on two rooted binary trees. This NP-hard problem has been studied extensively in the past two decades, since it can be used to compute the rooted Subtree…

数据结构与算法 · 计算机科学 2018-11-15 Neil Olver , Frans Schalekamp , Suzanne van der Ster , Leen Stougie , Anke van Zuylen
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