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We consider the problem of laying out a tree with fixed parent/child structure in hierarchical memory. The goal is to minimize the expected number of block transfers performed during a search along a root-to-leaf path, subject to a given…

Data Structures and Algorithms · Computer Science 2007-05-23 Stephen Alstrup , Michael A. Bender , Erik D. Demaine , Martin Farach-Colton , Theis Rauhe , Mikkel Thorup

The automatic assignment of species information to the corresponding genes in a research article is a critically important step in the gene normalization task, whereby a gene mention is normalized and linked to a database record or…

Computation and Language · Computer Science 2022-10-17 Ling Luo , Chih-Hsuan Wei , Po-Ting Lai , Qingyu Chen , Rezarta Islamaj Doğan , Zhiyong Lu

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

We revisit the Heaviest Induced Ancestors (HIA) problem that was introduced by Gagie, Gawrychowski, and Nekrich [CCCG 2013] and has a number of applications in string algorithms. Let $T_1$ and $T_2$ be two rooted trees whose nodes have…

Data Structures and Algorithms · Computer Science 2023-02-06 Panagiotis Charalampopoulos , Bartłomiej Dudek , Paweł Gawrychowski , Karol Pokorski

Rooted binary perfect phylogenies provide a generalization of rooted binary unlabeled trees in which each leaf is assigned a positive integer value that corresponds in a biological setting to the count of the number of indistinguishable…

Populations and Evolution · Quantitative Biology 2024-10-22 Chloe E. Shiff , Noah A. Rosenberg

Compatibility of phylogenetic trees is the most important concept underlying widely-used methods for assessing the agreement of different phylogenetic trees with overlapping taxa and combining them into common supertrees to reveal the tree…

Discrete Mathematics · Computer Science 2011-11-09 Merce Llabres , Jairo Rocha , Francesc Rossello , Gabriel Valiente

We combine two methods for the lossless compression of unlabeled graphs - entropy compressing adjacency lists and computing canonical names for vertices - and solve an ensuing novel optimisation problem: Minimum-Entropy Tree-Extraction…

Data Structures and Algorithms · Computer Science 2026-03-17 Ziad Ismaili Alaoui , Tamio-Vesa Nakajima , Namrata , Sebastian Wild

The entities in directed networks arising from real-world interactions are often naturally organized under some hierarchical structure. Given a directed, weighted, graph with edges and node labels, we introduce ranking problem where the…

Data Structures and Algorithms · Computer Science 2025-02-04 Chamalee Wickrama Arachchi , Nikolaj Tatti

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

The problem of Text Indexing is a fundamental algorithmic problem in which one wishes to preprocess a text in order to quickly locate pattern queries within the text. In the ever evolving world of dynamic and on-line data, there is also a…

Data Structures and Algorithms · Computer Science 2012-08-21 Tsvi Kopelowitz

This paper characterizes and discusses devolutionary genetic algorithms and evaluates their performances in solving the minimum labeling Steiner tree (MLST) problem. We define devolutionary algorithms as the process of reaching a feasible…

Optimization and Control · Mathematics 2020-04-22 Nassim Dehouche

We consider the multi-broadcast problem in arbitrary connected radio networks consisting of $n$ nodes. There are $k$ designated source nodes for some fixed $k \in \{1,\ldots,n\}$, and each source node has a distinct piece of information…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-20 Colin Krisko , Avery Miller

We consider the indirect covering subtree problem (Kim et al., 1996). The input is an edge weighted tree graph along with customers located at the nodes. Each customer is associated with a radius and a penalty. The goal is to locate a…

Data Structures and Algorithms · Computer Science 2010-02-03 Joachim Spoerhase

Many thousands of patent applications arrive at patent offices around the world every day. One important subtask when a patent application is submitted is to assign one or more classification codes from the complex and hierarchical patent…

Information Retrieval · Computer Science 2022-03-08 Eleni Kamateri , Vasileios Stamatis , Konstantinos Diamantaras , Michail Salampasis

Given a rooted tree and a ranking of its leaves, what is the minimum number of inversions of the leaves that can be attained by ordering the tree? This variation of the problem of counting inversions in arrays originated in mathematical…

Data Structures and Algorithms · Computer Science 2024-07-02 Ivan Hu , Dieter van Melkebeek , Andrew Morgan

We present a novel self-stabilizing algorithm for minimum spanning tree (MST) construction. The space complexity of our solution is $O(\log^2n)$ bits and it converges in $O(n^2)$ rounds. Thus, this algorithm improves the convergence time of…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-07-26 Lélia Blin , Shlomi Dolev , Maria Potop-Butucaru , Stephane Rovedakis

Most network security datasets do not have comprehensive label assignment criteria, hindering the evaluation of the datasets, the training of models, the results obtained, the comparison with other methods, and the evaluation in real-life…

Cryptography and Security · Computer Science 2023-05-03 Sebastian Garcia , Veronica Valeros

Natural language text corpora are often available as sets of syntactically parsed trees. A wide range of expressive tree queries are possible over such parsed trees that open a new avenue in searching over natural language text. They not…

Databases · Computer Science 2012-08-02 Pirooz Chubak , Davood Rafiei

The partition problem is a well-known basic NP-complete problem. We mainly consider the optimization version of it in this paper. The problem has been investigated from various perspectives for a long time and can be solved efficiently in…

Discrete Mathematics · Computer Science 2024-05-10 Susumu Kubo

The objective in extreme multi-label learning is to train a classifier that can automatically tag a novel data point with the most relevant subset of labels from an extremely large label set. Embedding based approaches make training and…

Machine Learning · Computer Science 2015-07-13 Kush Bhatia , Himanshu Jain , Purushottam Kar , Prateek Jain , Manik Varma