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Phylogenetic networks are a generalization of evolutionary or phylogenetic trees that are commonly used to represent the evolution of species which cross with one another. A special type of phylogenetic network is an {\em $X$-cactus}, which…

Populations and Evolution · Quantitative Biology 2021-09-08 Andrew Francis , Katharina T. Huber , Vincent Moulton , Taoyang Wu

We study the problem of visualizing phylogenetic networks, which are extensions of the Tree of Life in biology. We use a space filling visualization method, called DAGmaps, in order to obtain clear visualizations using limited space. In…

Data Structures and Algorithms · Computer Science 2016-09-06 Ioannis G. Tollis , Konstantinos G. Kakoulis

Comparative analyses of phylogenetic trees typically require identical taxon sets, however, in practice, trees often include distinct but overlapping taxa. Pruning non-shared leaves discards phylogenetic signal, whereas tree completion can…

Populations and Evolution · Quantitative Biology 2026-04-28 Aleksandr Koshkarov , Nadia Tahiri

Several methods are known for parsing languages generated by Tree Adjoining Grammars (TAGs) in O(n^6) worst case running time. In this paper we investigate which restrictions on TAGs and TAG derivations are needed in order to lower this…

Computation and Language · Computer Science 2007-05-23 Giorgio Satta , William Schuler

Given a graph, we can form a spanning forest by first sorting the edges in some order, and then only keep edges incident to a vertex which is not incident to any previous edge. The resulting forest is dependent on the ordering of the edges,…

Combinatorics · Mathematics 2018-02-16 Steve Butler , Misa Hamanaka , Marie Hardt

The evolutionary relationships between species are typically represented in the biological literature by rooted phylogenetic trees. However, a tree fails to capture ancestral reticulate processes, such as the formation of hybrid species or…

Populations and Evolution · Quantitative Biology 2024-12-09 Johanna Heiss , Daniel H. Huson , Mike Steel

Long document classification presents challenges in capturing both local and global dependencies due to their extensive content and complex structure. Existing methods often struggle with token limits and fail to adequately model…

Computation and Language · Computer Science 2024-10-07 Sudipta Singha Roy , Xindi Wang , Robert E. Mercer , Frank Rudzicz

A phylogenetic tree is a graphical representation of an evolutionary history of taxa in which the leaves correspond to the taxa and the non-leaves correspond to speciations. One of important problems in phylogenetic analysis is to assemble…

Combinatorics · Mathematics 2022-02-25 Hiroshi Hirai , Yuni Iwamasa

For a pair consisting of a gene tree and a species tree, the ancestral configurations at an internal node of the species tree are the distinct sets of gene lineages that can be present at that node. Ancestral configurations appear in…

Combinatorics · Mathematics 2020-06-17 Filippo Disanto , Michael Fuchs , Ariel R. Paningbatan , Noah A. Rosenberg

Phylogenetic networks and, more generally, directed acyclic graphs (DAGs) represent hierarchical structure beyond trees, for instance in the presence of reticulate evolutionary events such as hybridization or horizontal gene transfer. A…

Populations and Evolution · Quantitative Biology 2026-05-22 Marc Hellmuth , Anna Lindeberg , Vincent Moulton

In evolutionary biology, phylogenetic networks are graphs that provide a flexible framework for representing complex evolutionary histories that involve reticulate evolutionary events. Recently phylogenetic studies have started to focus on…

Populations and Evolution · Quantitative Biology 2025-11-17 Niels Holtgrefe , Katharina T. Huber , Leo van Iersel , Mark Jones , Vincent Moulton

Phylogenetic diversity indices are commonly used to rank the elements in a collection of species or populations for conservation purposes. The derivation of these indices is typically based on some quantitative description of the…

Populations and Evolution · Quantitative Biology 2024-03-26 Vincent Moulton , Andreas Spillner , Kristina Wicke

Tagging items with descriptive annotations or keywords is a very natural way to compress and highlight information about the properties of the given entity. Over the years several methods have been proposed for extracting a hierarchy…

Information Retrieval · Computer Science 2014-01-23 Gergely Tibély , Péter Pollner , Tamás Vicsek , Gergely Palla

Text-Attributed Graphs (TAGs) enhance graph structures with natural language descriptions, enabling detailed representation of data and their relationships across a broad spectrum of real-world scenarios. Despite the potential for deeper…

Machine Learning · Computer Science 2024-05-28 Zheng Zhang , Yuntong Hu , Bo Pan , Chen Ling , Liang Zhao

Phylogenetic networks are a generalization of phylogenetic trees to leaf-labeled directed acyclic graphs that represent ancestral relationships between species whose past includes non-tree-like events such as hybridization and horizontal…

Combinatorics · Mathematics 2021-04-13 Janosch Döcker , Simone Linz , Charles Semple

Phylogenetic networks are becoming of increasing interest to evolutionary biologists due to their ability to capture complex non-treelike evolutionary processes. From a combinatorial point of view, such networks are certain types of rooted…

Combinatorics · Mathematics 2019-10-21 Katharina T. Huber , Guillaume E. Scholz

This paper presents two new deterministic algorithms for constructing consensus trees. Given an input of k phylogenetic trees with identical leaf label sets and n leaves each, the first algorithm constructs the majority rule (+) consensus…

Data Structures and Algorithms · Computer Science 2013-08-07 Jesper Jansson , Chuanqi Shen , Wing-Kin Sung

Textual Attribute Graphs (TAGs) are critical for modeling complex networks like citation networks, but effective node classification remains challenging due to difficulties in integrating rich semantics from text with structural graph…

Machine Learning · Computer Science 2025-08-11 Rituparna Datta , Nibir Chandra Mandal

A phylogenetic tree is a way to organize a finite set of species, individuals or other sources of related data. The species for which we have existing DNA data make up the set of leaves of the tree. The balanced minimal evolution method of…

Combinatorics · Mathematics 2016-08-05 Stefan Forcey , Logan Keefe , William Sands

Phylogenetic trees describe the evolutionary history of a group of present-day species from a common ancestor. These trees are typically reconstructed from aligned DNA sequence data. In this paper we analytically address the following…

Populations and Evolution · Quantitative Biology 2008-07-14 Mike Steel , Laszlo Szekely , Elchanan Mossel
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