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A phylogenetic tree shows the evolutionary relationships among species. Internal nodes of the tree represent speciation events and leaf nodes correspond to species. A goal of phylogenetics is to combine such trees into larger trees, called…

Artificial Intelligence · Computer Science 2014-01-16 Neil C. A. Moore , Patrick Prosser

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.…

Data Structures and Algorithms · Computer Science 2023-08-21 Steven Kelk , Simone Linz , Ruben Meuwese

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…

Data Structures and Algorithms · Computer Science 2017-11-07 Chris Whidden , 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…

Discrete Mathematics · Computer Science 2016-11-09 Chris Whidden , Frederick A. Matsen

Phylogenetic networks are a generalization of phylogenetic trees that allow for the representation of non-treelike evolutionary events, like recombination, hybridization, or lateral gene transfer. In this paper, we present and study a new…

Populations and Evolution · Quantitative Biology 2007-08-28 Gabriel Cardona , Francesc Rossello , Gabriel Valiente

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…

Combinatorics · Mathematics 2018-10-17 Jonathan Klawitter

This paper presents a novel algorithm, called MRRT, which uses multiple rapidly-exploring random trees for fast online replanning of autonomous vehicles in dynamic environments with moving obstacles. The proposed algorithm is built upon the…

Robotics · Computer Science 2021-04-23 Zongyuan Shen , James P. Wilson , Ryan Harvey , Shalabh Gupta

We introduce a new phylogenetic reconstruction algorithm which, unlike most previous rigorous inference techniques, does not rely on assumptions regarding the branch lengths or the depth of the tree. The algorithm returns a forest which is…

Populations and Evolution · Quantitative Biology 2011-09-30 Constantinos Daskalakis , Elchanan Mossel , Sebastien Roch

Comparative analyses of phylogenetic trees typically require identical taxon sets, however, in practice, trees often include distinct but overlapping taxa. Pruning non-shared leaves discards phylogenetic signal, whereas tree completion can…

Populations and Evolution · Quantitative Biology 2026-04-28 Aleksandr Koshkarov , Nadia Tahiri

Distance-based phylogenetic algorithms attempt to solve the NP-hard least squares phylogeny problem by mapping an arbitrary dissimilarity map representing biological data to a tree metric. The set of all dissimilarity maps is a Euclidean…

Populations and Evolution · Quantitative Biology 2013-07-24 Ruth Davidson , Seth Sullivant

Recovering a tree that represents the evolutionary history of a group of species is a key task in phylogenetics. Performing this task using sequence data from multiple genetic markers poses two key challenges. The first is the discordance…

Populations and Evolution · Quantitative Biology 2026-03-12 Ortal Reshef , Ofer Glassman , Or Zuk , Yariv Aizenbud , Boaz Nadler , Ariel Jaffe

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…

Data Structures and Algorithms · Computer Science 2018-11-15 Neil Olver , Frans Schalekamp , Suzanne van der Ster , Leen Stougie , Anke van Zuylen

In 2007, Eickmeyer et al. showed that the tree topologies outputted by the Neighbor-Joining (NJ) algorithm and the balanced minimum evolution (BME) method for phylogenetic reconstruction are each determined by a polyhedral subdivision of…

Combinatorics · Mathematics 2009-08-04 Kord Eickmeyer , Ruriko Yoshida

Trees have long been used as a graphical representation of species relationships. However complex evolutionary events, such as genetic reassortments or hybrid speciations which occur commonly in viruses, bacteria and plants, do not fit into…

Populations and Evolution · Quantitative Biology 2017-07-24 Sebastien Roch , Kun-Chieh Wang

In phylogenetics, a central problem is to infer the evolutionary relationships between a set of species $X$; these relationships are often depicted via a phylogenetic tree -- a tree having its leaves univocally labeled by elements of $X$…

Data Structures and Algorithms · Computer Science 2016-04-12 Julien Baste , Christophe Paul , Ignasi Sau , Celine Scornavacca

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

The problem of reconstructing evolutionary trees or phylogenies is of great interest in computational biology. A popular model for this problem assumes that we are given the set of leaves (current species) of an unknown binary tree and the…

Data Structures and Algorithms · Computer Science 2022-06-16 Eshwar Ram Arunachaleswaran , Anindya De , Sampath Kannan

The supertree problem asking for a tree displaying a set of consistent input trees has been largely considered for the reconstruction of species trees. Here, we rather explore this framework for the sake of reconstructing a gene tree from a…

Data Structures and Algorithms · Computer Science 2016-10-25 Manuel Lafond , Cédric Chauve , Nadia El-Mabrouk , Aïda Ouangraoua

K-nearest neighbor (kNN) search has wide applications in many areas, including data mining, machine learning, statistics and many applied domains. Inspired by the success of ensemble methods and the flexibility of tree-based methodology, we…

Machine Learning · Statistics 2020-05-27 Donghui Yan , Yingjie Wang , Jin Wang , Honggang Wang , Zhenpeng Li

In many interesting cases the reconstruction of a correct phylogeny is blurred by high mutation rates and/or horizontal transfer events. As a consequence a divergence arises between the true evolutionary distances and the differences…

Populations and Evolution · Quantitative Biology 2010-02-08 F. Tria , E. Caglioti , V. Loreto , A. Pagnani