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6 papers

cs.DS2026

Maximizing All-Paths Phylogenetic Diversity: Parameterized Approaches for Networks

Mark Jones, Jannik Schestag

The paper investigates the problem of maximizing a generalized phylogenetic diversity measure on directed acyclic phylogenetic networks, showing hardness results and presenting fix…

cs.DS2026

Tree Containment Parameterized by Scanwidth

Leo van Iersel, Mark Jones, Mathias Weller

TREE CONTAINMENT is a central decision problem in mathematical phylogenetics, asking whether a given rooted phylogenetic tree is embeddable in ("displayed by") a given rooted phylo…

cs.DS2026

Average-Tree Phylogenetic Diversity Parameterized by Scanwidth and Invisibility

Leo van Iersel, Mark Jones, Jannik Schestag +2

We investigate parameterized algorithms for computing the average-tree phylogenetic diversity (APD) in rooted phylogenetic networks, studying the problem under different structural…

math.CO2026

A Class of Unrooted Phylogenetic Networks Inspired by the Properties of Rooted Tree-Child Networks

Leo van Iersel, Mark Jones, Simone Linz +1

A directed phylogenetic network is tree-child if every non-leaf vertex has a child that is not a reticulation. As a class of directed phylogenetic networks, tree-child networks are…

cs.CC2025

Phylogenetic Network Diversity Parameterized by Reticulation Number and Beyond

Leo van Iersel, Mark Jones, Jannik Schestag +2

Network Phylogenetic Diversity (Network-PD) is a measure for the diversity of a set of species based on a rooted phylogenetic network (with branch lengths and inheritance probabili…

cs.DS2025

Parameterized Algorithms for Diversity of Networks with Ecological Dependencies

Mark Jones, Jannik Schestag

For a phylogenetic tree, the phylogenetic diversity of a set A of taxa is the total weight of edges on paths to A. Finding small sets of maximal diversity is crucial for conservati…