8 papers
Note on the Maximum Number of Trees Displayed by a Tree-Child Network
Yukihiro Murakami, Charles Semple
In this note, we show that, for all , the number of distinct rooted binary phylogenetic -trees displayed by a binary tree-child network on with lea…
Binary normal networks without near reticulations can be reconstructed from their rooted triples
Andrew Francis, Charles Semple
Normal networks are an important class of phylogenetic networks that have compelling mathematical properties which align with intuition about inference from genetic data. While too…
A sharp lower bound for the number of phylogenetic trees displayed by a tree-child network
Charles Semple, Kristina Wicke
A normal (phylogenetic) network with reticulations displays phylogenetic trees. In this paper, we establish an analogous result for tree-child (phylogenetic) networks wit…
Order-Dependent Dissimilarity Measures on Phylogenetic Trees
Simone Linz, Katherine St. John, Charles Semple +1
Ordered leaf attachment, Phylo2Vec, and HOP are three recently introduced vector representations for rooted phylogenetic trees where the representation is determined by an ordering…
Bounding the SNPR distance between two tree-child networks using generalised agreement forests
Steven Kelk, Simone Linz, Charles Semple
Agreement forests continue to play a central role in the comparison of phylogenetic trees since their introduction more than 25 years ago. More specifically, they are used to chara…
When is a set of phylogenetic trees displayed by a normal network?
Magnus Bordewich, Simone Linz, Charles Semple
A normal network is uniquely determined by the set of phylogenetic trees that it displays. Given a set of rooted binary phylogenetic trees, this paper presents a poly…
Phylogenetic trees defined by at most three characters
Katharina T. Huber, Simone Linz, Vincent Moulton +1
In evolutionary biology, phylogenetic trees are commonly inferred from a set of characters (partitions) of a collection of biological entities (e.g., species or individuals in a po…
Tree-based networks: characterisations, metrics, and support trees
Joan Carles Pons, Charles Semple, Mike Steel
Phylogenetic networks generalise phylogenetic trees and allow for the accurate representation of the evolutionary history of a set of present-day species whose past includes reticu…