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A non-local model describing the growth of a tree-like transportation network with given allocation rules is proposed. In this model we focus on tree like networks, and the network transports the very resource it needs to build itself. Some…

Adaptation and Self-Organizing Systems · Physics 2019-07-24 Olivier Bui , Xavier Leoncini

Tree Containment is a fundamental problem in phylogenetics useful for verifying a proposed phylogenetic network, representing the evolutionary history of certain species. Tree Containment asks whether the given phylogenetic tree (for…

Populations and Evolution · Quantitative Biology 2024-06-14 Arkadiy Dushatskiy , Esther Julien , Leen Stougie , Leo van Iersel

Geometric trees are characterized by their tree-structured layout and spatially constrained nodes and edges, which significantly impacts their topological attributes. This inherent hierarchical structure plays a crucial role in domains such…

Machine Learning · Computer Science 2024-08-19 Zheng Zhang , Allen Zhang , Ruth Nelson , Giorgio Ascoli , Liang Zhao

Many methods have been developed for finding the commonalities between different organisms to study their phylogeny. The structure of metabolic networks also reveal valuable insights into metabolic capacity of species as well as into the…

Molecular Networks · Quantitative Biology 2016-04-08 Krishanu Deyasi , Anirban Banerjee , Bony Deb

How a single fertilized cell gives rise to a complex array of specialized cell types in development is a central question in biology. The cells grow, divide, and acquire differentiated characteristics through poorly understood molecular…

Machine Learning · Computer Science 2025-03-26 Da Kuang , Guanwen Qiu , Junhyong Kim

The reconstruction of a central tendency `species tree' from a large number of conflicting gene trees is a central problem in systematic biology. Moreover, it becomes particularly problematic when taxon coverage is patchy, so that not all…

Populations and Evolution · Quantitative Biology 2014-05-27 Mike Steel , Joel D. Velasco

The comprehensive characterization of the structure of complex networks is essential to understand the dynamical processes which guide their evolution. The discovery of the scale-free distribution and the small world property of real…

Computational Physics · Physics 2009-11-13 Paulino R. Villas Boas , Francisco A. Rodrigues , Gonzalo Travieso , Luciano da F. Costa

Phylogenetic data arising on two possibly different tree topologies might be mixed through several biological mechanisms, including incomplete lineage sorting or horizontal gene transfer in the case of different topologies, or simply…

Populations and Evolution · Quantitative Biology 2009-12-18 Elizabeth S. Allman , Sonja Petrović , John A. Rhodes , Seth Sullivant

Unrooted phylogenetic networks are graphs used to represent evolutionary relationships. Accurately reconstructing such networks is of great relevance for evolutionary biology. It has recently been conjectured that all phylogenetic networks…

Combinatorics · Mathematics 2021-01-01 Péter L. Erdős , Leo van Iersel , Mark Jones

A classic problem in computational biology is constructing a phylogenetic tree given a set of distances between n species. In most cases, a tree structure is too constraining. We consider a circular split network, a generalization of a tree…

Combinatorics · Mathematics 2016-07-26 Satyan L. Devadoss , Samantha Petti

The reconstruction of phylogenies from DNA or protein sequences is a major task of computational evolutionary biology. Common phenomena, notably variations in mutation rates across genomes and incongruences between gene lineage histories,…

Probability · Mathematics 2012-11-30 Elchanan Mossel , Sebastien Roch

Tree-child networks are a recently-described class of directed acyclic graphs that have risen to prominence in phylogenetics (the study of evolutionary trees and networks). Although these networks have a number of attractive mathematical…

Probability · Mathematics 2023-01-10 François Bienvenu , Amaury Lambert , Mike Steel

Phylogenetic tree comparison metrics are an important tool in the study of evolution, and hence the definition of such metrics is an interesting problem in phylogenetics. In a paper in Taxon fifty years ago, Sokal and Rohlf proposed to…

Populations and Evolution · Quantitative Biology 2013-01-22 Gabriel Cardona , Arnau Mir , Francesc Rossello , Lucia Rotger , David Sanchez

A geophylogeny is a phylogenetic tree (or dendrogram) where each leaf (e.g. biological taxon) has an associated geographic location (site). To clearly visualize a geophylogeny, the tree is typically represented as a crossing-free drawing…

Discrete Mathematics · Computer Science 2025-04-16 Jonathan Klawitter , Felix Klesen , Joris Y. Scholl , Thomas C. van Dijk , Alexander Zaft

Reconciling a gene tree with a species tree is an important task that reveals much about the evolution of genes, genomes, and species, as well as about the molecular function of genes. A wide array of computational tools have been devised…

Populations and Evolution · Quantitative Biology 2012-12-11 Yun Yu , Luay Nakhleh

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…

Combinatorics · Mathematics 2025-09-23 Steven Kelk , Simone Linz , Charles Semple

The C-Orientation problem asks whether it is possible to orient an undirected graph to a directed phylogenetic network of a desired network class C. This problem arises, for example, when visualising evolutionary data, as popular methods…

Data Structures and Algorithms · Computer Science 2025-09-30 Tsuyoshi Urata , Manato Yokoyama , Haruki Miyaji , Momoko Hayamizu

When we apply comparative phylogenetic analyses to genome data, it is a well-known problem and challenge that some of given species (or taxa) often have missing genes. In such a case, we have to impute a missing part of a gene tree from a…

Populations and Evolution · Quantitative Biology 2023-07-06 Ruriko Yoshida

Networks having the geometry and the connectivity of trees are considered as the spatial support of spatiotemporal dynamical processes. A tree is characterized by two parameters: its ramification and its depth. The local dynamics at the…

Pattern Formation and Solitons · Physics 2009-11-07 M. G. Cosenza , K. Tucci

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
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