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The fundamental question considered in algorithms on strings is that of indexing, that is, preprocessing a given string for specific queries. By now we have a number of efficient solutions for this problem when the queries ask for an exact…

Data Structures and Algorithms · Computer Science 2023-04-04 Paweł Gawrychowski , Garance Gourdel , Tatiana Starikovskaya , Teresa Anna Steiner

The longest square subsequence (LSS) problem consists of computing a longest subsequence of a given string $S$ that is a square, i.e., a longest subsequence of form $XX$ appearing in $S$. It is known that an LSS of a string $S$ of length…

Data Structures and Algorithms · Computer Science 2020-07-30 Takafumi Inoue , Shunsuke Inenaga , Hideo Bannai

The problem of generalized function matching can be defined as follows: given a pattern $p=p_1 \cdots p_m$ and a text $t=t_1 \cdots t_n$, find a mapping $f:\Sigma_p\rightarrow\Sigma_t^{*}$ and all text locations $i$ such that $f(p_1) f(p_2)…

Data Structures and Algorithms · Computer Science 2019-08-06 Radu Stefan Mincu

Selecting the best code solution from multiple generated ones is an essential task in code generation, which can be achieved by using some reliable validators (e.g., developer-written test cases) for assistance. Since reliable test cases…

Software Engineering · Computer Science 2024-10-22 Mouxiang Chen , Zhongxin Liu , He Tao , Yusu Hong , David Lo , Xin Xia , Jianling Sun

This paper performs the analysis necessary to bound the running time of known, efficient algorithms for generating all longest common subsequences. That is, we bound the running time as a function of input size for algorithms with time…

Discrete Mathematics · Computer Science 2007-05-23 Ronald I. Greenberg

We consider the general problem of the Longest Common Subsequence (LCS) on weighted sequences. Weighted sequences are an extension of classical strings, where in each position every letter of the alphabet may occur with some probability.…

Computational Complexity · Computer Science 2020-07-21 Evangelos Kipouridis , Kostas Tsichlas

The Longest Common Increasing Subsequence (LCIS) is a variant of the classical Longest Common Subsequence (LCS), in which we additionally require the common subsequence to be strictly increasing. While the well-known "Four Russians"…

Data Structures and Algorithms · Computer Science 2020-03-31 Anadi Agrawal , Paweł Gawrychowski

We present algorithms for length-constrained maximum sum segment and maximum density segment problems, in particular, and the problem of finding length-constrained heaviest segments, in general, for a sequence of real numbers. Given a…

Computational Geometry · Computer Science 2015-03-19 Md. Shafiul Alam , Asish Mukhopadhyay

In the area of Pattern Recognition and Matching, finding a Longest Common Subsequence plays an important role. In this paper, we have proposed one algorithm based on parallel computation. We have used OpenMP API package as middleware to…

Data Structures and Algorithms · Computer Science 2013-06-20 Tirtharaj Dash , Tanistha Nayak

In CPM 2017, Amir et al. introduce a problem, named \emph{approximate string cover} (\textbf{ACP}), motivated by many aplications including coding and automata theory, formal language theory, combinatorics and molecular biology. A…

Data Structures and Algorithms · Computer Science 2018-06-22 Alexandru Popa , Andrei Tanasescu

We consider the classic problem of computing the Longest Common Subsequence (LCS) of two strings of length $n$. While a simple quadratic algorithm has been known for the problem for more than 40 years, no faster algorithm has been found…

Data Structures and Algorithms · Computer Science 2021-06-16 Karl Bringmann , Vincent Cohen-Addad , Debarati Das

We consider the longest common subsequence problem in the context of subsequences with gap constraints. In particular, following Day et al. 2022, we consider the setting when the distance (i. e., the gap) between two consecutive symbols of…

Data Structures and Algorithms · Computer Science 2023-06-05 Duncan Adamson , Maria Kosche , Tore Koß , Florin Manea , Stefan Siemer

We study quantum algorithms for several fundamental string problems, including Longest Common Substring, Lexicographically Minimal String Rotation, and Longest Square Substring. These problems have been widely studied in the stringology…

Data Structures and Algorithms · Computer Science 2021-10-22 Shyan Akmal , Ce Jin

We study the construction of $d$-deletion-correcting binary codes by formulating the problem as a Maximum Clique Problem (MCP). In this formulation, vertices represent candidate codewords and edges connect pairs whose longest common…

Information Theory · Computer Science 2026-02-10 Aniruddh Pandav , Rajshekhar V Bhat

This article discusses a particular case of the data clustering problem, where it is necessary to find groups of adjacent text segments of the appropriate length that match a fuzzy pattern represented as a sequence of fuzzy properties. To…

Artificial Intelligence · Computer Science 2022-02-01 Armen Kostanyan , Arevik Harmandayan

Continual Semantic Parsing (CSP) aims to train parsers to convert natural language questions into SQL across tasks with limited annotated examples, adapting to the real-world scenario of dynamically updated databases. Previous studies…

Computation and Language · Computer Science 2024-12-11 Ruiheng Liu , Jinyu Zhang , Yanqi Song , Yu Zhang , Bailong Yang

This article considers stochastic algorithms for efficiently solving a class of large scale non-linear least squares (NLS) problems which frequently arise in applications. We propose eight variants of a practical randomized algorithm where…

Numerical Analysis · Mathematics 2015-01-27 Farbod Roosta-Khorasani , Gábor J. Székely , Uri Ascher

We study constant-factor approximation algorithms for the Bin Packing Problem with Setups (BPPS). First, we show that adaptations of classical BPP heuristics can have arbitrarily poor worst-case performance on BPPS instances. Then, we…

Optimization and Control · Mathematics 2026-01-01 Roberto Baldacci , Fabio Ciccarelli , Stefano Coniglio , Valerio Dose , Fabio Furini

This work addresses the uniform parallel machine scheduling problem within an optimistic bilevel optimization framework. The leader seeks to minimize the weighted number of tardy jobs, while the follower aims to minimize the total…

Optimization and Control · Mathematics 2026-05-20 Quentin Schau , Federico Della Croce , Olivier Ploton , Vincent t'Kindt

This study investigates whether reoptimization can help in solving the closest substring problem. We are dealing with the following reoptimization scenario. Suppose, we have an optimal l-length closest substring of a given set of sequences…

Data Structures and Algorithms · Computer Science 2017-03-21 Jhoirene B. Clemente , Henry N. Adorna
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