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Polyploidy is an important speciation mechanism, particularly in land plants. Allopolyploid species are formed after hybridization between otherwise intersterile parental species. Recent theoretical progress has led to successful…

Populations and Evolution · Quantitative Biology 2012-08-20 Graham Jones , Serik Sagitov , Bengt Oxelman

We investigate a relaxation of the notion of treewidth-fragility, namely tree-independence-number-fragility. In particular, we obtain polynomial-time approximation schemes for independent packing problems on fractionally…

Data Structures and Algorithms · Computer Science 2025-04-23 Esther Galby , Andrea Munaro , Shizhou Yang

In the context of reconstructing phylogenetic networks from a collection of phylogenetic trees, several characterisations and subsequently algorithms have been established to reconstruct a phylogenetic network that collectively embeds all…

Combinatorics · Mathematics 2023-08-21 Janosch Döcker , Simone Linz , Charles Semple

In this paper, we present new efficiently solvable cases of the Minimum Uncovering Branching problem, an optimization problem with applications in cancer genomics introduced by Hujdurovi\'c, Husi\'c, Milani\v{c}, Rizzi, and Tomescu in 2018.…

Discrete Mathematics · Computer Science 2025-06-24 Narmina Baghirova , Esther Galby , Martin Milanič

Phylogenetic networks extend phylogenetic trees to model non-vertical inheritance, by which a lineage inherits material from multiple parents. The computational complexity of estimating phylogenetic networks from genome-wide data with…

Populations and Evolution · Quantitative Biology 2022-06-28 Jingcheng Xu , Cécile Ané

We propose a reinforcement-learning algorithm to tackle the challenge of reconstructing phylogenetic trees. The search for the tree that best describes the data is algorithmically challenging, thus all current algorithms for phylogeny…

Populations and Evolution · Quantitative Biology 2023-03-14 Dana Azouri , Oz Granit , Michael Alburquerque , Yishay Mansour , Tal Pupko , Itay Mayrose

Good representations for phylogenetic trees and networks are important for optimizing storage efficiency and implementation of scalable methods for the inference and analysis of evolutionary trees for genes, genomes and species. We…

Populations and Evolution · Quantitative Biology 2024-05-14 Cedric Chauve , Caroline Colijn , Louxin Zhang

Phylogenetic species trees typically represent the speciation history as a bifurcating tree. Speciation events that simultaneously create more than two descendants, thereby creating polytomies in the phylogeny, are possible. Moreover, the…

Populations and Evolution · Quantitative Biology 2018-02-08 Erfan Sayyari , Siavash Mirarab

Phylogenetic networks are often constructed by merging multiple conflicting phylogenetic signals into a directed acyclic graph. It is interesting to explore whether a network constructed in this way induces biologically-relevant…

Populations and Evolution · Quantitative Biology 2017-07-13 Steven Kelk , Fabio Pardi , Celine Scornavacca , Leo van Iersel

An evolutionary tree (phylogenetic tree) is a binary, rooted, unordered tree that models the evolutionary history of currently living species in which leaves are labeled by species. In this paper, we investigate the problem of finding the…

Populations and Evolution · Quantitative Biology 2013-04-02 Soheil Jahangiri Tazehkand , Seyed Naser Hashemi , Hadi Poormohammadi

Here we present a new fixed parameter tractable algorithm to compute the hybridization number r of two rooted, not necessarily binary phylogenetic trees on taxon set X in time (6^r.r!).poly(n)$, where n=|X|. The novelty of this approach is…

Quantitative Methods · Quantitative Biology 2012-07-26 Teresa Piovesan , Steven Kelk

We observe $n$ sequences at each of $m$ sites, and assume that they have evolved from an ancestral sequence that forms the root of a binary tree of known topology and branch lengths, but the sequence states at internal nodes are unknown.…

Computation · Statistics 2014-08-28 Adam Persing , Ajay Jasra , Alexandros Beskos , David Balding , Maria De Iorio

The architecture of eukaryotic coding genes allows the production of several different protein isoforms by genes. Current gene phylogeny reconstruction methods make use of a single protein product per gene, ignoring information on…

Data Structures and Algorithms · Computer Science 2017-07-05 Esaie Kuitche , Manuel Lafond , Aïda Ouangraoua

This paper discusses various types of constraints, difficulties and solutions to overcome the challenges regarding university course allocation problem. A hybrid evolutionary algorithm has been defined combining Local Repair Algorithm and…

Neural and Evolutionary Computing · Computer Science 2023-07-25 Dibyo Fabian Dofadar , Riyo Hayat Khan , Shafqat Hasan , Towshik Anam Taj , Arif Shakil , Mahbub Majumdar

Inferring probabilistic networks from data is a notoriously difficult task. Under various goodness-of-fit measures, finding an optimal network is NP-hard, even if restricted to polytrees of bounded in-degree. Polynomial-time algorithms are…

Data Structures and Algorithms · Computer Science 2012-08-16 Serge Gaspers , Mikko Koivisto , Mathieu Liedloff , Sebastian Ordyniak , Stefan Szeider

Since the advent of modern bioinformatics, the challenging, multifaceted problem of reconstructing phylogenetic history from biological sequences has hatched perennial statistical and algorithmic innovation. Studies of the phylogenetic…

Data Structures and Algorithms · Computer Science 2024-03-05 Matthew Andres Moreno , Santiago Rodriguez Papa , Emily Dolson

In the PATH COVER problem, one asks to cover the vertices of a graph using the smallest possible number of (not necessarily disjoint) paths. While the variant where the paths need to be pairwise vertex-disjoint, which we call PATH…

Data Structures and Algorithms · Computer Science 2025-11-11 Florent Foucaud , Atrayee Majumder , Tobias Mömke , Aida Roshany-Tabrizi

A pangenome captures the genetic diversity across multiple individuals simultaneously, providing a more comprehensive reference for genome analysis than a single linear genome, which may introduce allele bias. A widely adopted pangenome…

Data Structures and Algorithms · Computer Science 2026-02-16 Xingfu Li , Yongping Wang

There exist several methods dealing with the reconstruction of rooted phylogenetic networks explaining different evolutionary histories given by rooted binary phylogenetic trees. In practice, however, due to insufficient information of the…

Populations and Evolution · Quantitative Biology 2015-12-18 Benjamin Albrecht

The Dollo model for reconstructing evolutionary trees from binary characters has been proposed as a generalization of the infinite sites model, also known as the Perfect Phylogeny. In particular, the Dollo model is considered more realistic…

Data Structures and Algorithms · Computer Science 2025-06-17 Paola Bonizzoni , Gianluca Della Vedova , Mauricio Soto Gomez , Gabriella Trucco