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Assembling a gene from candidate exons is an important problem in computational biology. Among the most successful approaches to this problem is \emph{spliced alignment}, proposed by Gelfand et al., which scores different candidate exon…

Data Structures and Algorithms · Computer Science 2007-07-24 Alexander Tiskin

While the major white matter tracts are of great interest to numerous studies in neuroscience and medicine, their manual dissection in larger cohorts from diffusion MRI tractograms is time-consuming, requires expert knowledge and is hard to…

Computer Vision and Pattern Recognition · Computer Science 2019-09-26 Jakob Wasserthal , Peter Neher , Dusan Hirjak , Klaus H. Maier-Hein

Sorting a permutation by reversals is a famous problem in genome rearrangements. Since 1997, quite some biological evidence were found that in many genomes the reversed regions are usually flanked by a pair of inverted repeats. This type of…

Data Structures and Algorithms · Computer Science 2023-02-09 Xin Tong , Yixiao Yu , Ziyi Fang , Haitao Jiang , Lusheng Wang , Binhai Zhu , Daming Zhu

In the PATH COVER problem, one asks to cover the vertices of a graph using the smallest possible number of (not necessarily disjoint) paths. While the variant where the paths need to be pairwise vertex-disjoint, which we call PATH…

Data Structures and Algorithms · Computer Science 2025-11-11 Florent Foucaud , Atrayee Majumder , Tobias Mömke , Aida Roshany-Tabrizi

In recent years genetic algorithms have emerged as a useful tool for the heuristic solution of complex discrete optimisation problems. In particular there has been considerable interest in their use in tackling problems arising in the areas…

Artificial Intelligence · Computer Science 2010-07-05 Uwe Aickelin

Genetic Programming (GP) has found various applications. Understanding this type of algorithm from a theoretical point of view is a challenging task. The first results on the computational complexity of GP have been obtained for problems…

Neural and Evolutionary Computing · Computer Science 2011-05-09 Markus Wagner , Frank Neumann

In phylogenetics, a central problem is to infer the evolutionary relationships between a set of species $X$; these relationships are often depicted via a phylogenetic tree -- a tree having its leaves univocally labeled by elements of $X$…

Data Structures and Algorithms · Computer Science 2016-04-12 Julien Baste , Christophe Paul , Ignasi Sau , Celine Scornavacca

Phylogenetic networks are used to represent the evolutionary history of species. They are versatile when compared to traditional phylogenetic trees, as they capture more complex evolutionary events such as hybridization and horizontal gene…

Combinatorics · Mathematics 2023-05-18 Shunsuke Maeda , Yusuke Kaneko , Hideaki Muramatsu , Yukihiro Murakami , Momoko Hayamizu

Drug optimization has become increasingly crucial in light of fast-mutating virus strains and drug-resistant cancer cells. Nevertheless, it remains challenging as it necessitates retaining the beneficial properties of the original drug…

Biomolecules · Quantitative Biology 2025-08-12 Xuefeng Liu , Songhao Jiang , Ian Foster , Jinbo Xu , Rick Stevens

The qubit routing problem, also known as the swap minimization problem, is a (classical) combinatorial optimization problem that arises in the design of compilers of quantum programs. We study the qubit routing problem from the viewpoint of…

Data Structures and Algorithms · Computer Science 2023-05-16 Takehiro Ito , Naonori Kakimura , Naoyuki Kamiyama , Yusuke Kobayashi , Yoshio Okamoto

DNA sequencing is the process of determining the exact order of the nucleotide bases of an individual's genome in order to catalogue sequence variation and understand its biological implications. Whole-genome sequencing techniques produce…

Data Structures and Algorithms · Computer Science 2015-09-18 Ljiljana Brankovic , Costas S. Iliopoulos , Ritu Kundu , Manal Mohamed , Solon P. Pissis , Fatima Vayani

Structural parameters of graphs, such as treewidth, play a central role in the study of the parameterized complexity of graph problems. Motivated by the study of parametrized algorithms on phylogenetic networks, scanwidth was introduced…

Computational Complexity · Computer Science 2026-02-09 Jannik Schestag , Norbert Zeh

Probabilistic message-passing algorithms are developed for routing transmissions in multi-wavelength optical communication networks, under node and edge-disjoint routing constraints and for various objective functions. Global routing…

Physics and Society · Physics 2022-04-25 Yi-Zhi Xu , Ho Fai Po , Chi Ho Yeung , David Saad

We consider the \textsc{Steiner Orientation} problem, where we are given as input a mixed graph $G=(V,E,A)$ and a set of $k$ demand pairs $(s_i,t_i)$, $i\in[k]$. The goal is to orient the undirected edges of $G$ in a way that the resulting…

Data Structures and Algorithms · Computer Science 2025-07-30 Tesshu Hanaka , Michael Lampis , Nikolaos Melissinos , Edouard Nemery , Hirotaka Ono , Manolis Vasilakis

The problem of pattern selection arises when the evolution equations have many solutions, whereas observed patterns constitute a much more restricted set. An approach is advanced for treating the problem of pattern selection by defining the…

Condensed Matter · Physics 2009-11-07 V. I. Yukalov

Scaffolding is an important subproblem in "de novo" genome assembly in which mate pair data are used to construct a linear sequence of contigs separated by gaps. Here we present SLIQ, a set of simple linear inequalities derived from the…

Genomics · Quantitative Biology 2011-11-10 Rajat S. Roy , Kevin C. Chen , Anirvan M. Sengupta , Alexander Schliep

Given a planar graph $G$ and an integer $b$, OrthogonalPlanarity is the problem of deciding whether $G$ admits an orthogonal drawing with at most $b$ bends in total. We show that OrthogonalPlanarity can be solved in polynomial time if $G$…

Computational Geometry · Computer Science 2019-08-15 Emilio Di Giacomo , Giuseppe Liotta , Fabrizio Montecchiani

Reconstructing ancestral gene orders in a given phylogeny is a classical problem in comparative genomics. Most existing methods compare conserved features in extant genomes in the phylogeny to define potential ancestral gene adjacencies,…

Data Structures and Algorithms · Computer Science 2016-09-27 Nina Luhmann , Manuel Lafond , Annelyse Thévenin , Aïda Ouangraoua , Roland Wittler , Cedric Chauve

Our goal in this paper is to automatically extract a set of decision rules (rule set) that best explains a classification data set. First, a large set of decision rules is extracted from a set of decision trees trained on the data set. The…

Neural and Evolutionary Computing · Computer Science 2022-09-19 Paul-Amaury Matt , Rosina Ziegler , Danilo Brajovic , Marco Roth , Marco F. Huber

Color-constrained subgraph problems are those where we are given an edge-colored (directed or undirected) graph and the task is to find a specific type of subgraph, like a spanning tree, an arborescence, a single-source shortest path tree,…

Data Structures and Algorithms · Computer Science 2024-07-24 P. S. Ardra , Jasine Babu , Kritika Kashyap , R. Krithika , Sreejith K. Pallathumadam , Deepak Rajendraprasad