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Given two rooted, labeled trees $P$ and $T$ the tree path subsequence problem is to determine which paths in $P$ are subsequences of which paths in $T$. Here a path begins at the root and ends at a leaf. In this paper we propose this…

Data Structures and Algorithms · Computer Science 2011-11-09 Philip Bille , Inge Li Goertz

The problem of comparing trees representing the evolutionary histories of cancerous tumors has turned out to be crucial, since there is a variety of different methods which typically infer multiple possible trees. A departure from the…

Data Structures and Algorithms · Computer Science 2019-04-03 Giulia Bernardini , Paola Bonizzoni , Gianluca Della Vedova , Murray Patterson

In phylogenetics, tree-based networks are used to model and visualize the evolutionary history of species where reticulate events such as horizontal gene transfer have occurred. Formally, a tree-based network $N$ consists of a phylogenetic…

Discrete Mathematics · Computer Science 2020-08-21 Jonathan Klawitter , Peter Stumpf

The supertree construction problem is about combining several phylogenetic trees with possibly conflicting information into a single tree that has all the leaves of the source trees as its leaves and the relationships between the leaves are…

Computational Engineering, Finance, and Science · Computer Science 2020-02-19 Laura Koponen , Emilia Oikarinen , Tomi Janhunen , Laura Säilä

The Maximum Agreement Forest (Maf) problem is a well-studied problem in evolutionary biology, which asks for a largest common subforest of a given collection of phylogenetic trees with identical leaf label-set. However, the previous work…

Data Structures and Algorithms · Computer Science 2014-11-04 Feng Shi , Jianer Chen , Qilong Feng , Xiaojun Ding , Jianxin Wang

Phylogenetic networks are often constructed by merging multiple conflicting phylogenetic signals into a directed acyclic graph. It is interesting to explore whether a network constructed in this way induces biologically-relevant…

Populations and Evolution · Quantitative Biology 2017-07-13 Steven Kelk , Fabio Pardi , Celine Scornavacca , Leo van Iersel

Deciding whether a collection of unrooted trees is compatible is a fundamental problem in phylogenetics. Two different graph-theoretic characterizations of tree compatibility have recently been proposed. In one of these, tree compatibility…

Discrete Mathematics · Computer Science 2012-10-16 Sudheer Vakati , David Fernández-Baca

Both supervised and unsupervised machine learning algorithms have been used to learn partition-based index structures for approximate nearest neighbor (ANN) search. Existing supervised algorithms formulate the learning task as finding a…

Machine Learning · Computer Science 2022-10-14 Ville Hyvönen , Elias Jääsaari , Teemu Roos

Phylogenetic trees canonically arise as embeddings of phylogenetic networks. We recently showed that the problem of deciding if two phylogenetic networks embed the same sets of phylogenetic trees is computationally hard, \blue{in…

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

We consider here the problem of chaining seeds in ordered trees. Seeds are mappings between two trees Q and T and a chain is a subset of non overlapping seeds that is consistent with respect to postfix order and ancestrality. This problem…

Quantitative Methods · Quantitative Biology 2015-05-19 Julien Allali , Cédric Chauve , Pascal Ferraro , Anne-Laure Gaillard

Rooted phylogenetic networks are often used to represent conflicting phylogenetic signals. Given a set of clusters, a network is said to represent these clusters in the "softwired" sense if, for each cluster in the input set, at least one…

Populations and Evolution · Quantitative Biology 2011-03-10 Steven Kelk , Celine Scornavacca , Leo van Iersel

An ancestry labeling scheme assigns labels (bit strings) to the nodes of rooted trees such that ancestry queries between any two nodes in a tree can be answered merely by looking at their corresponding labels. The quality of an ancestry…

Data Structures and Algorithms · Computer Science 2009-09-16 Pierre Fraigniaud , Amos Korman

The amount of completely sequenced chloroplast genomes increases rapidly every day, leading to the possibility to build large scale phylogenetic trees of plant species. Considering a subset of close plant species defined according to their…

Artificial Intelligence · Computer Science 2015-04-21 Bassam AlKindy , Christophe Guyeux , Jean-François Couchot , Michel Salomon , Christian Parisod , Jacques M. Bahi

A common problem in phylogenetics is to try to infer a species phylogeny from gene trees. We consider different variants of this problem. The first variant, called Unrestricted Minimal Episodes Inference, aims at inferring a species tree…

Populations and Evolution · Quantitative Biology 2019-08-12 Leo van Iersel , Remie Janssen , Mark Jones , Yukihiro Murakami , Norbert Zeh

In a previous work, we gave a metric on the class of semibinary tree-sibling time consistent phylogenetic networks that is computable in polynomial time; in particular, the problem of deciding if two networks of this kind are isomorphic is…

Populations and Evolution · Quantitative Biology 2009-02-27 Gabriel Cardona , Merce Llabres , Francesc Rossello , Gabriel Valiente

The Persistent-Phylogeny Model is an extension of the widely studied Perfect-Phylogeny Model, encompassing a broader range of evolutionary phenomena. Biological and algorithmic questions concerning persistent phylogeny have been intensely…

Populations and Evolution · Quantitative Biology 2015-06-03 Dan Gusfield

Evolutionary events such as incomplete lineage sorting and lateral gene transfer constitute major problems for inferring species trees from gene trees, as they can sometimes lead to gene trees which conflict with the underlying species…

Populations and Evolution · Quantitative Biology 2013-04-23 Andreas Sand , Mike Steel

Semi-supervised learning (SSL) is a common approach to learning predictive models using not only labeled examples, but also unlabeled examples. While SSL for the simple tasks of classification and regression has received a lot of attention…

Machine Learning · Computer Science 2024-04-02 Jurica Levatić , Michelangelo Ceci , Dragi Kocev , Sašo Džeroski

Genetic and comparative genomic studies indicate that extant genomes are more properly considered to be a fusion product of random mutations over generations and genomic material transfers between individuals of different lineages. This has…

Quantitative Methods · Quantitative Biology 2018-01-16 Andreas D. M. Gunawan , Bingxin Lu , Louxin Zhang

Different sources of information might tell different stories about the evolutionary history of a given set of species. This leads to (rooted) phylogenetic trees that "disagree" on triples of species, which we call "conflict triples". An…

Data Structures and Algorithms · Computer Science 2019-11-26 Mathias Weller