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Consider a set of labels $L$ and a set of trees ${\mathcal T} = \{{\mathcal T}^{(1), {\mathcal T}^{(2), ..., {\mathcal T}^{(k) \$ where each tree ${\mathcal T}^{(i)$ is distinctly leaf-labeled by some subset of $L$. One fundamental problem…

Data Structures and Algorithms · Computer Science 2008-02-21 Viet Tung Hoang , Wing-Kin Sung

Topological phylogenetic trees can be assigned edge weights in several natural ways, highlighting different aspects of the tree. Here the rooted triple and quartet metrizations are introduced, and applied to formulate novel fast methods of…

Populations and Evolution · Quantitative Biology 2019-05-15 John A. Rhodes

The amount of completely sequenced chloroplast genomes increases rapidly every day, leading to the possibility to build large-scale phylogenetic trees of plant species. Considering a subset of close plant species defined according to their…

Artificial Intelligence · Computer Science 2016-09-01 Bassam AlKindy , Bashar Al-Nuaimi , Christophe Guyeux , Jean-François Couchot , Michel Salomon , Reem Alsrraj , Laurent Philippe

Seeding then expanding is a commonly used scheme to discover overlapping communities in a network. Most seeding methods are either too complex to scale to large networks or too simple to select high-quality seeds, and the non-principled…

Social and Information Networks · Computer Science 2015-02-27 Changxing Shang , Shengzhong Feng , Zhongying Zhao , Jianping Fan

A metric phylogenetic tree relating a collection of taxa induces weighted rooted triples and weighted quartets for all subsets of three and four taxa, respectively. New intertaxon distances are defined that can be calculated from these…

Populations and Evolution · Quantitative Biology 2020-02-12 Samaneh Yourdkhani , John A. Rhodes

We systematically study the computational complexity of a broad class of computational problems in phylogenetic reconstruction. The class contains for example the rooted triple consistency problem, forbidden subtree problems, the quartet…

Computational Complexity · Computer Science 2017-08-15 Manuel Bodirsky , Peter Jonsson , Trung Van Pham

Given an input graph and weights on its vertices, the maximum co-2-plex problem is to find a subset of vertices maximizing the sum of their weights and inducing a graph of degree at most 1. In this article, we analyze polyhedral aspects of…

Discrete Mathematics · Computer Science 2025-12-09 Alexandre Dupont-Bouillard , Pierre Fouilhoux , Roland Grappe , Mathieu Lacroix

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

Under the multispecies coalescent model of molecular evolution, gene trees have independent evolutionary histories within a shared species tree. In comparison, supermatrix concatenation methods assume that gene trees share a single common…

Populations and Evolution · Quantitative Biology 2016-06-13 Huw A. Ogilvie , Joseph Heled , Dong Xie , Alexei J. Drummond

Phylogenetic networks are necessary to represent the tree of life expanded by edges to represent events such as horizontal gene transfers, hybridizations or gene flow. Not all species follow the paradigm of vertical inheritance of their…

Populations and Evolution · Quantitative Biology 2016-02-15 Claudia Solís-Lemus , Cécile Ané

A method was developed for Bayesian inference of species phylogeny using the multi-species coalescent model. To improve the mixing properties of the Markov chain Monte Carlo (MCMC) algorithm that traverses the space of species trees, we…

Populations and Evolution · Quantitative Biology 2015-12-15 Bruce Rannala , Ziheng Yang

Semi-labeled trees are phylogenies whose internal nodes may be labeled by higher-order taxa. Thus, a leaf labeled Mus musculus could nest within a subtree whose root node is labeled Rodentia, which itself could nest within a subtree whose…

Data Structures and Algorithms · Computer Science 2016-05-09 Yun Deng , David Fernández-Baca

Networks are ubiquitous in biology and computational approaches have been largely investigated for their inference. In particular, supervised machine learning methods can be used to complete a partially known network by integrating various…

Machine Learning · Computer Science 2014-04-25 Marie Schrynemackers , Louis Wehenkel , M. Madan Babu , Pierre Geurts

Phylogenetic networks generalise phylogenetic trees and allow for the accurate representation of the evolutionary history of a set of present-day species whose past includes reticulate events such as hybridisation and lateral gene transfer.…

Populations and Evolution · Quantitative Biology 2018-09-05 Joan Carles Pons , Charles Semple , Mike Steel

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

Phylogenomics heavily relies on well-curated sequence data sets that consist, for each gene, exclusively of 1:1-orthologous. Paralogs are treated as a dangerous nuisance that has to be detected and removed. We show here that this severe…

Discrete Mathematics · Computer Science 2017-12-19 Marc Hellmuth , Nicolas Wieseke , Marcus Lechner , Hans-Peter Lenhof , Martin Middendorf , Peter F. Stadler

The inference of the evolutionary history of a collection of organisms is a problem of fundamental importance in evolutionary biology. The abundance of DNA sequence data arising from genome sequencing projects has led to significant…

Populations and Evolution · Quantitative Biology 2015-07-07 Julia Chifman , Laura Kubatko

We study a family of data augmentation methods, substructure substitution (SUB2), for natural language processing (NLP) tasks. SUB2 generates new examples by substituting substructures (e.g., subtrees or subsequences) with ones with the…

Computation and Language · Computer Science 2021-01-05 Haoyue Shi , Karen Livescu , Kevin Gimpel

When gene copies are sampled from various species, the resulting gene tree might disagree with the containing species tree. The primary causes of gene tree and species tree discord include lineage sorting, horizontal gene transfer, and gene…

Populations and Evolution · Quantitative Biology 2010-03-08 Louxin Zhang

Technology convergence integrates distinct domains to create novel combinations, driving radical innovation that reshapes markets and industries. However, most approaches rely on pairwise networks that cannot capture multi-technology…

Physics and Society · Physics 2026-02-27 Yiwei Huang , Shuqi Xu , Shimin Cai , Linyuan Lü
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