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Rank Conditions on Phylogenetic Networks

Authors: Casanellas Rius, Marta; Fernández Sánchez, Jesús;

Rank Conditions on Phylogenetic Networks

Abstract

Less rigid than phylogenetic trees, phylogenetic networks allow the description of a wider range of evolutionary events. In this note, we explain how to extend the rank invariants from phylogenetic trees to phylogenetic networks evolving under the general Markov model and the equivariant models.

5 pages, 1 figure. This paper will appear in Research Perspectives CRM Barcelona, Spring 2019, vol. 10, in Trends in Mathematics Springer-Birkhauser

Keywords

Classificació AMS::14 Algebraic geometry::14Q Computational aspects in algebraic geometry, :51 Geometry::51H Topological geometry [Classificació AMS], Populations and Evolution (q-bio.PE), Geometry, Geometria, 92B10, 92D15, :Matemàtiques i estadística::Geometria::Geometria algebraica [Àrees temàtiques de la UPC], Classificació AMS::51 Geometry::51H Topological geometry, Geometry, Algebraic, Algebraic, Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria computacional, FOS: Biological sciences, :14 Algebraic geometry::14Q Computational aspects in algebraic geometry [Classificació AMS], Geometria algèbrica, :Matemàtiques i estadística::Geometria::Geometria computacional [Àrees temàtiques de la UPC], Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria algebraica, Quantitative Biology - Populations and Evolution

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visibility
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
views
OpenAIRE UsageCountsViews provided by UsageCounts
4
Top 10%
Average
Average
34
Green