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Article
Open AccessGeneration of Orchard and Tree-Child Networks
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 attention of the scientific com...
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Article
Revisiting Shao and Sokal’s B2 index of phylogenetic balance
Measures of phylogenetic balance, such as the Colless and Sackin indices, play an important role in phylogenetics. Unfortunately, these indices are specifically designed for phylogenetic trees, and do not exte...
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Article
Reconstruction of LGT networks from tri-LGT-nets
Phylogenetic networks have gained attention from the scientific community due to the evidence of the existence of evolutionary events that cannot be represented using trees. A variant of phylogenetic networks,...
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Article
Open AccessA reconstruction problem for a class of phylogenetic networks with lateral gene transfers
Lateral, or Horizontal, Gene Transfers are a type of asymmetric evolutionary events where genetic material is transferred from one species to another. In this paper we consider LGT networks, a general model of p...
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Article
Exact formulas for the variance of several balance indices under the Yule model
One of the main applications of balance indices is in tests of null models of evolutionary processes. The knowledge of an exact formula for a statistic of a balance index, holding for any number ...
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Article
Open AccessCophenetic metrics for phylogenetic trees, after Sokal and Rohlf
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, S...
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Article
Nodal distances for rooted phylogenetic trees
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...
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Chapter and Conference Paper
Two Results on Distances for Phylogenetic Networks
We establish two new results on distances for phylogenetic networks. First, that Nakhleh’s metric for reduced networks [15] is a metric on the class of semibinary tree-sibling networks, being thus the only non...
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Article
Open AccessExtended Newick: it is time for a standard representation of phylogenetic networks
Phylogenetic trees resulting from molecular phylogenetic analysis are available in Newick format from specialized databases but when it comes to phylogenetic networks, which provide an explicit representation ...
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Article
Open AccessA perl package and an alignment tool for phylogenetic networks
Phylogenetic networks are a generalization of phylogenetic trees that allow for the representation of evolutionary events acting at the population level, like recombination between genes, hybridization between...
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Chapter and Conference Paper
Zeta Function and Cryptographic Exponent of Supersingular Curves of Genus 2
We compute in a direct (not algorithmic) way the zeta function of all supersingular curves of genus 2 over a finite field k, with many geometric automorphisms. We display these computations in an appendix where w...
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Article
Curves of genus two over fields of even characteristic
In this paper we classify curves of genus two over a perfect field k of characteristic two. We find rational models of curves with a given arithmetic structure for the ramification divisor and we give necessary a...
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Chapter
ℚ-curves and Abelian Varieties of GL2-type from Dihedral Genus 2 Curves
In this paper we review some of the results in [3] about curves of genus 2 with dihedral group of automorphisms and apply Ellenberg-Skinner’s criterion (cf. [4]) to determine that one can find infinitely many of ...