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Related papers: On Nakhleh's latest metric for phylogenetic networ…

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We prove that Nakhleh's latest dissimilarity measure for phylogenetic networks separates distinguishable phylogenetic networks, and that a slight modification of it provides a true distance on the class of all phylogenetic networks.

Populations and Evolution · Quantitative Biology 2008-01-16 Gabriel Cardona , Merce Llabres , Francesc Rossello , Gabriel Valiente

Galled networks, directed acyclic graphs that model evolutionary histories with reticulation cycles containing only tree nodes, have become very popular due to both their biological significance and the existence of polynomial time…

Populations and Evolution · Quantitative Biology 2010-09-06 Gabriel Cardona , Merce Llabres , Francesc Rossello

Phylogenetic networks are a generalization of phylogenetic trees that allow for the representation of non-treelike evolutionary events, like recombination, hybridization, or lateral gene transfer. In a recent series of papers devoted to the…

Populations and Evolution · Quantitative Biology 2007-07-17 Gabriel Cardona , Francesc Rossello , Gabriel Valiente

Semidirected networks have received interest in evolutionary biology as the appropriate generalization of unrooted trees to networks, in which some but not all edges are directed. Yet these networks lack proper theoretical study. We define…

Combinatorics · Mathematics 2024-10-14 Michael Maxfield , Jingcheng Xu , Cécile Ané

Phylogenetic networks are a type of directed acyclic graph that represent how a set $X$ of present-day species are descended from a common ancestor by processes of speciation and reticulate evolution. In the absence of reticulate evolution,…

Combinatorics · Mathematics 2017-08-11 Andrew Francis , Charles Semple , Mike Steel

The presence of reticulate evolutionary events in phylogenies turn phylogenetic trees into phylogenetic networks. These events imply in particular that there may exist multiple evolutionary paths from a non-extant species to an extant one,…

Populations and Evolution · Quantitative Biology 2008-03-21 Gabriel Cardona , Merce Llabres , Francesc Rossello , Gabriel Valiente

Tree-based networks are a class of phylogenetic networks that attempt to formally capture what is meant by "tree-like" evolution. A given non-tree-based phylogenetic network, however, might appear to be very close to being tree-based, or…

Populations and Evolution · Quantitative Biology 2020-01-17 Mareike Fischer , Andrew Francis

Phylogenetic networks are a generalization of phylogenetic trees that allow for the representation of non-treelike evolutionary events, like recombination, hybridization, or lateral gene transfer. In this paper, we present and study a new…

Populations and Evolution · Quantitative Biology 2007-08-28 Gabriel Cardona , Francesc Rossello , Gabriel Valiente

Phylogenetic networks are an extension of phylogenetic trees which are used to represent evolutionary histories in which reticulation events (such as recombination and hybridization) have occurred. A central question for such networks is…

Populations and Evolution · Quantitative Biology 2018-03-28 Andrew Francis , Vincent Moulton

In a previous work, we gave a metric on the class of semibinary tree-sibling time consistent phylogenetic networks that is computable in polynomial time; in particular, the problem of deciding if two networks of this kind are isomorphic is…

Populations and Evolution · Quantitative Biology 2009-02-27 Gabriel Cardona , Merce Llabres , Francesc Rossello , Gabriel Valiente

Phylogenetic trees are a central tool in understanding evolution. They are typically inferred from sequence data, and capture evolutionary relationships through time. It is essential to be able to compare trees from different data sources…

Populations and Evolution · Quantitative Biology 2017-10-31 Michelle Kendall , Caroline Colijn

Phylogenetic networks are useful in representing the evolutionary history of taxa. In certain scenarios, one requires a way to compare different networks. In practice, this can be rather difficult, except within specific classes of…

Populations and Evolution · Quantitative Biology 2025-07-30 Christopher Reichling , Leo van Iersel , Yukihiro Murakami

In this paper we introduce and study three new measures for efficient discriminative comparison of phylogenetic trees. The NNI navigation dissimilarity $d_{nav}$ counts the steps along a "combing" of the Nearest Neighbor Interchange (NNI)…

Populations and Evolution · Quantitative Biology 2015-10-21 Omur Arslan , Dan P. Guralnik , Daniel E. Koditschek

Phylogenetic networks generalize phylogenetic trees by representing reticulate evolution. Tree-based networks and their support trees have been extensively studied, but not all networks are tree-based. To measure how far such networks are…

Populations and Evolution · Quantitative Biology 2026-05-27 Takatora Suzuki

Dissimilarity measures for (possibly weighted) phylogenetic trees based on the comparison of their vectors of path lengths between pairs of taxa, have been present in the systematics literature since the early seventies. But, as far as…

Populations and Evolution · Quantitative Biology 2008-07-06 Gabriel Cardona , Merce Llabres , Francesc Rossello , Gabriel Valiente

Metrics on rooted phylogenetic trees are integral to a number of areas of phylogenetic analysis. Cluster-similarity metrics have recently been introduced in order to limit skew in the distribution of distances, and to ensure that trees in…

Populations and Evolution · Quantitative Biology 2019-11-26 Michael Hendriksen , Andrew Francis

A large class of phylogenetic networks can be obtained from trees by the addition of horizontal edges between the tree edges. These networks are called tree based networks. Reticulation-visible networks and child-sibling networks are all…

Populations and Evolution · Quantitative Biology 2015-09-09 Louxin Zhang

Ranked tree-child networks are a recently introduced class of rooted phylogenetic networks in which the evolutionary events represented by the network are ordered so as to respect the flow of time. This class includes the well-studied…

Populations and Evolution · Quantitative Biology 2024-10-15 Vincent Moulton , Andreas Spillner

Rooted phylogenetic networks are used by biologists to infer and represent complex evolutionary relationships between species that cannot be accurately explained by a phylogenetic tree. Tree-child networks are a particular class of rooted…

Combinatorics · Mathematics 2024-09-02 Janosch Döcker , Simone Linz

Inference of phylogenetic networks is of increasing interest in the genomic era. However, the extent to which phylogenetic networks are identifiable from various types of data remains poorly understood, despite its crucial role in…

Populations and Evolution · Quantitative Biology 2025-05-01 Elizabeth S. Allman , Cecile Ane , Hector Banos , John A. Rhodes
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