12 citations · 14 across the 12 of their papers we have counts for
12 papers
Characterization of tree-child networks in terms of mu vectors
Toni Fuentes, Vincent Moulton, Katharina T. Huber +1
We characterize tree-child phylogenetic networks in terms of their mu-representations. First, we give a structural characterization of tree-child networks by means of ordered tree-…
Polynomial encoding of rooted trees with branch lengths
Pengyu Liu, Joan Carles Pons, Gerard Ribas
Phylogenetic trees are rooted trees with branch lengths that record genetic divergence or elapsed time, and quantifying differences between them is central to a wide range of evolu…
Counting Spinal Tree-Child Networks via Word Encodings and Generating Functions
Pau Vives, Anna de Mier, Gabriel Cardona +1
We study the enumeration of spinal tree-child phylogenetic networks, a rigid family of tree-child networks in which all internal vertices lie on a single root--to--leaf path. We pr…
A -distance for semidirected orchard phylogenetic networks
Gerard Ribas, Joan Carles Pons, Cécile Ané
In evolutionary biology, phylogenetic networks are now widely used to represent the historical relationships between species and population, when this history includes reticulation…
Fence decompositions and cherry covers in non-binary phylogenetic networks
Joan Carles Pons, Pau Vives López, Yukihiro Murakami +1
Reticulate evolution can be modelled using phylogenetic networks. Tree-based networks, which are one of the more general classes of phylogenetic networks, have recently gained emin…
Counting cherry reduction sequences is counting linear extensions (in phylogenetic tree-child networks)
Tomás M. Coronado, Joan Carles Pons, Gabriel Riera
Orchard and tree-child networks share an important property with phylogenetic trees: they can be completely reduced to a single node by iteratively deleting cherries and reticulate…
Generation of orchard and tree-child networks
Gabriel Cardona, Gerard Ribas, Joan Carles Pons
Phylogenetic networks are an extension of phylogenetic trees that allow for the representation of reticulate evolution events. One of the classes of networks that has gained the at…
Comparison of orchard networks using their extended -representation
Gabriel Cardona, Joan Carles Pons, Gerard Ribas +1
Phylogenetic networks generalize phylogenetic trees in order to model reticulation events. Although the comparison of phylogenetic trees is well studied, and there are multiple way…
A polynomial invariant for a new class of phylogenetic networks
Joan Carles Pons, Tomás M. Coronado, Michael Hendriksen +1
Invariants for complicated objects such as those arising in phylogenetics, whether they are invariants as matrices, polynomials, or other mathematical structures, are important too…
Classes of Explicit Phylogenetic Networks and their Biological and Mathematical Significance
Sungsik Kong, Joan Carles Pons, Laura Kubatko +1
The evolutionary relationships among organisms have traditionally been represented using rooted phylogenetic trees. However, due to reticulate processes such as hybridization or la…
Generation of Tree-Child phylogenetic networks
Gabriel Cardona, Joan Carles Pons, Celine Scornavacca
Phylogenetic networks generalize phylogenetic trees by allowing the modelization of events of reticulate evolution. Among the different kinds of phylogenetic networks that have bee…
Tree-based networks: characterisations, metrics, and support trees
Joan Carles Pons, Charles Semple, Mike Steel
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 reticu…