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Espacios de redes de árboles hijos clasificados

Vincent Moulton¹, Andreas Spillner²

¹School of Computing Sciences, University of East Anglia, Norwich, UK. v.moulton@uea.ac.uk.

Journal of mathematical biology

|September 2, 2025

Resumen

Introducimos un nuevo método para comparar las redes árbol-hijo clasificadas usando una nueva codificación. Este enfoque define nuevos espacios de red y permite un cálculo eficiente de la distancia entre las redes filogenéticas.

Área de la Ciencia:

Biología evolutiva
Filogenética computacional
Teoría de las redes

Sus antecedentes:

Las redes árbol-hijo clasificadas representan eventos evolutivos ordenados a lo largo del tiempo.
Comparar árboles y redes filogenéticas es crucial pero desafiante.
Las métricas de distancia existentes se limitan a los árboles filogenéticos binarios clasificados.

Objetivo del estudio:

Desarrollar un nuevo enfoque para comparar las redes de árboles-hijos de orden binario.
Para definir nuevos espacios matemáticos para estas redes.
Permitir un cálculo eficiente de las distancias entre redes.

Principales métodos:

Codificación de redes de árboles hijos clasificados utilizando conjuntos parcialmente ordenados.
La definición de dos nuevos espacios para las redes de árboles-hijos binarios clasificados.
Caracterizando un espacio como un espacio ortante CAT (0).

Principales resultados:

Se presenta una nueva codificación para redes árbol-hijo clasificadas.
Se definen dos nuevos espacios de redes de árboles-hijos binarios clasificados.
El espacio continuo generaliza los árboles ultramétricos y es un espacio ortante CAT0 , lo que permite un cálculo eficiente de la distancia.

Conclusiones:

La codificación y los espacios propuestos ofrecen un marco sólido para comparar las redes de árboles-hijos clasificados.
El cálculo eficiente de la distancia ahora es posible para las redes de árbol-hijo equidistantes.
Este trabajo avanza en el campo de la comparación y el análisis de redes filogenéticas.

Palabras clave:

Espacio ortográfico Red equidistante Intercambio vecino más cercano Red filogenética clasificada

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