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Parameterized algorithms have been subject to extensive research of recent years and allow to solve hard problems by exploiting a parameter of the corresponding problem instances. There, one goal is to devise algorithms, where the runtime…

Logic in Computer Science · Computer Science 2019-05-07 Markus Hecher

The phylogenetic tree construction is to infer the evolutionary relationship between species from the experimental data. However, the experimental data are often imperfect and conflicting each others. Therefore, it is important to extract…

Artificial Intelligence · Computer Science 2007-05-23 Andy Auyeung , Ajith Abraham

A widely used method for determining the similarity of two labeled trees is to compute a maximum agreement subtree of the two trees. Previous work on this similarity measure is only concerned with the comparison of labeled trees of two…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Ming-Yang Kao , Tak-Wah Lam , Wing-Kin Sung , Hing-Fung Ting

We propose a novel method for automatic program synthesis. P-Tree Programming represents the program search space through a single probabilistic prototype tree. From this prototype tree we form program instances which we evaluate on a given…

Artificial Intelligence · Computer Science 2017-07-13 Christian Oesch

Cartesian tree matching is the problem of finding all substrings in a given text which have the same Cartesian trees as that of a given pattern. In this paper, we deal with Cartesian tree matching for the case of multiple patterns. We…

Data Structures and Algorithms · Computer Science 2019-11-06 Geonmo Gu , Siwoo Song , Simone Faro , Thierry Lecroq , Kunsoo Park

'Tree-based' phylogenetic networks proposed by Francis and Steel have attracted much attention of theoretical biologists in the last few years. At the heart of the definitions of tree-based phylogenetic networks is the notion of 'support…

Combinatorics · Mathematics 2019-04-30 Momoko Hayamizu , Kazuhisa Makino

The Minimum Quartet Tree Cost problem is to construct an optimal weight tree from the $3{n \choose 4}$ weighted quartet topologies on $n$ objects, where optimality means that the summed weight of the embedded quartet topologies is optimal…

Machine Learning · Computer Science 2014-09-16 Rudi L. Cilibrasi , Paul M. B. Vitanyi

The ongoing explosion of genome sequence data is transforming how we reconstruct and understand the histories of biological systems. Across biological scales, from individual cells to populations and species, trees-based models provide a…

Populations and Evolution · Quantitative Biology 2025-12-08 Yun Deng , Shing H. Zhan , Yulin Zhang , Chao Zhang , Bingjie Chen

Several algorithms build on the perfect phylogeny model to infer evolutionary trees. This problem is particularly hard when evolutionary trees are inferred from the fraction of genomes that have mutations in different positions, across…

Data Structures and Algorithms · Computer Science 2018-12-31 Bei Jia , Surjyendu Ray , Sam Safavi , José Bento

How do phylogenetic reconstruction algorithms go astray when they return incorrect trees? This simple question has not been answered in detail, even for maximum parsimony (MP), the simplest phylogenetic criterion. Understanding MP has…

Populations and Evolution · Quantitative Biology 2025-09-15 William Howard-Snyder , Will Dumm , Mary Barker , Ognian Milanov , Claris Winston , David H. Rich , Marc A Suchard , Frederick A Matsen

This paper addresses the problem of finding a representation of a subtree distance, which is an extension of the tree metric. We show that a minimal representation is uniquely determined by a given subtree distance, and give a linear time…

Data Structures and Algorithms · Computer Science 2019-02-26 Takanori Maehara , Kazutoshi Ando

A classical problem in phylogenetic tree analysis is to decide whether there is a phylogenetic tree $T$ that contains all information of a given collection $\cP$ of phylogenetic trees. If the answer is "yes" we say that $\cP$ is compatible…

Combinatorics · Mathematics 2010-06-29 Stefan Grünewald

Tree alignment graphs (TAGs) provide an intuitive data structure for storing phylogenetic trees that exhibits the relationships of the individual input trees and can potentially account for nested taxonomic relationships. This paper…

Data Structures and Algorithms · Computer Science 2015-03-16 Ruchi Chaudhary , David Fernandez-Baca , J. Gordon Burleigh

Measuring the complexity of tree structures can be beneficial in areas that use tree data structures for storage, communication, and processing purposes. This complexity can then be used to compress tree data structures to their…

Information Theory · Computer Science 2023-09-19 Amirmohammad Farzaneh , Mihai-Alin Badiu , Justin P. Coon

Building deep learning models on source code has found many successful software engineering applications, such as code search, code comment generation, bug detection, code migration, and so on. Current learning techniques, however, have a…

Software Engineering · Computer Science 2020-12-16 Nghi D. Q. Bui , Yijun Yu , Lingxiao Jiang

Distributed algorithms for solving coupled semidefinite programs (SDPs) commonly require many iterations to converge. They also put high computational demand on the computational agents. In this paper we show that in case the coupled…

Optimization and Control · Mathematics 2015-04-30 Sina Khoshfetrat Pakazad , Anders Hansson , Martin S. Andersen , Anders Rantzer

We study the problem of connecting the parts of a multipartite graph using a minimum number of edges under a matching constraint. We introduce interconnection trees, defined as matchings whose projections onto the quotient graph form a…

Computational Complexity · Computer Science 2026-05-19 Noé Demange , Yann Strozecki

Quartet Reconstruction, the task of recovering a phylogenetic tree from smaller trees on four species called \textit{quartets}, is a well-studied problem in theoretical computer science with far-reaching connections to statistics, graph…

Data Structures and Algorithms · Computer Science 2026-04-21 Dionysis Arvanitakis , Vaggos Chatziafratis , Yiyuan Luo , Konstantin Makarychev

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

Our goal is to visualize an additional data dimension of a tree with multifaceted data through superimposition on vertical strips, which we call columns. Specifically, we extend upward drawings of unordered rooted trees where vertices have…

Computational Geometry · Computer Science 2023-09-06 Jonathan Klawitter , Johannes Zink
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