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This paper deals with gene networks whose dynamics is assumed to be generated by a continuous-time, linear, time invariant, finite dimensional system (LTI) at steady state. In particular, we deal with the problem of network reconstruction…

Quantitative Methods · Quantitative Biology 2007-05-23 Lorenzo Farina , Ilaria Mogno

Driven by the need for better models that allow one to shed light into the question how life's diversity has evolved, phylogenetic networks have now joined phylogenetic trees in the center of phylogenetics research. Like phylogenetic trees,…

Combinatorics · Mathematics 2016-10-04 Philippe Gambette , Katharina T. Huber

Background: The reconstruction of the phylogenetic tree topology of four taxa is, still nowadays, one of the main challenges in phylogenetics. Its difficulties lie in considering not too restrictive evolutionary models, and correctly…

Populations and Evolution · Quantitative Biology 2014-06-19 Esther Ibáñez , Marta Casanellas

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

While every rooted binary phylogenetic tree is determined by its set of displayed rooted triples, such a result does not hold for an arbitrary rooted binary phylogenetic network. In particular, there exist two non-isomorphic rooted binary…

Combinatorics · Mathematics 2021-04-13 Simone Linz , Charles Semple

In this paper, we study the parallel query complexity of reconstructing biological and digital phylogenetic trees from simple queries involving their nodes. This is motivated from computational biology, data protection, and computer…

Data Structures and Algorithms · Computer Science 2020-09-10 Ramtin Afshar , Michael T. Goodrich , Pedro Matias , Martha C. Osegueda

Phylogenetic networks are notoriously difficult to reconstruct. Here we suggest that it can be useful to view unknown genetic distance along edges in phylogenetic networks as analogous to unknown resistance in electric circuits. This…

Combinatorics · Mathematics 2020-10-01 Stefan Forcey , Drew Scalzo

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

In phylogenetics, it is important for the phylogenetic network model parameters to be identifiable so that the evolutionary histories of a group of species can be consistently inferred. However, as the complexity of the phylogenetic network…

Populations and Evolution · Quantitative Biology 2021-04-27 Muhammad Ardiyansyah

Rooted triples, rooted binary phylogenetic trees on three leaves, are sufficient to encode rooted binary phylogenetic trees. That is, if $\mathcal T$ and $\mathcal T'$ are rooted binary phylogenetic $X$-trees that infers the same set of…

Combinatorics · Mathematics 2020-12-07 Charles Semple , Gerry Toft

Phylogenetic networks generalize phylogenetic trees by allowing the modelization of events of reticulate evolution. Among the different kinds of phylogenetic networks that have been proposed in the literature, the subclass of binary…

Data Structures and Algorithms · Computer Science 2020-07-01 Gabriel Cardona , Joan Carles Pons , Celine Scornavacca

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

Phylogenetic networks generalize evolutionary trees, and are commonly used to represent evolutionary histories of species that undergo reticulate evolutionary processes such as hybridization, recombination and lateral gene transfer.…

Populations and Evolution · Quantitative Biology 2012-10-02 Leo van Iersel , Vincent Moulton

Phylogenetic networks are graphs that are used to represent evolutionary relationships between different taxa. They generalize phylogenetic trees since for example, unlike trees, they permit lineages to combine. Recently, there has been…

Populations and Evolution · Quantitative Biology 2025-08-05 Katharina T. Huber , Leo van Iersel , Mark Jones , Vincent Moulton , Leonie Veenema - Nipius

Graph reconstruction can efficiently detect the underlying topology of massive networks such as the Internet. Given a query oracle and a set of nodes, the goal is to obtain the edge set by performing as few queries as possible. An algorithm…

Data Structures and Algorithms · Computer Science 2024-07-29 Clara Stegehuis , Lotte Weedage

Given a rooted, binary phylogenetic network and a rooted, binary phylogenetic tree, can the tree be embedded into the network? This problem, called \textsc{Tree Containment}, arises when validating networks constructed by phylogenetic…

Populations and Evolution · Quantitative Biology 2024-02-14 Leo van Iersel , Mark Jones , Mathias Weller

The problem of constructing an optimal rooted phylogenetic network from a set of rooted triplets is an NP-hard problem. In this paper, we present a heuristic algorithm called TripNet which tries to construct an optimal rooted phylogenetic…

Data Structures and Algorithms · Computer Science 2012-01-19 Hadi Poormohammadi , Changiz Eslahchi , Ruzbeh Tusserkani

An important and well-studied problem in phylogenetics is to compute a \emph{consensus tree} so as to summarize the common features within a collection of rooted phylogenetic trees, all whose leaf-sets are bijectively labeled by the same…

Populations and Evolution · Quantitative Biology 2021-07-22 Katharina T. Huber , Vincent Moulton , Andreas Spillner

We consider the problem of estimating the evolutionary history of a set of species (phylogeny or species tree) from several genes. It is known that the evolutionary history of individual genes (gene trees) might be topologically distinct…

Populations and Evolution · Quantitative Biology 2016-11-18 Gautam Dasarathy , Robert Nowak , Sebastien Roch

Normal networks are an important class of phylogenetic networks that have compelling mathematical properties which align with intuition about inference from genetic data. While tools enabling widespread use of phylogenetic networks in the…

Combinatorics · Mathematics 2025-12-16 Andrew Francis , Charles Semple