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Many problems that can be solved in quadratic time have bit-parallel speed-ups with factor $w$, where $w$ is the computer word size. A classic example is computing the edit distance of two strings of length $n$, which can be solved in…

量子物理 · 物理学 2023-04-17 Massimo Equi , Arianne Meijer - van de Griend , Veli Mäkinen

Traditional Von Neumann computing is falling apart in the era of exploding data volumes as the overhead of data transfer becomes forbidding. Instead, it is more energy-efficient to fuse compute capability with memory where the data reside.…

The $k$-mappability problem has two integers parameters $m$ and $k$. For every subword of size $m$ in a text $S$, we wish to report the number of indices in $S$ in which the word occurs with at most $k$ mismatches. The problem was lately…

数据结构与算法 · 计算机科学 2021-06-15 Amihood Amir , Itai Boneh , Eitan Kondratovsky

We generalize Karp-Rabin string matching to handle multiple patterns in $\mathcal{O}(n \log n + m)$ time and $\mathcal{O}(s)$ space, where $n$ is the length of the text and $m$ is the total length of the $s$ patterns, returning correct…

数据结构与算法 · 计算机科学 2015-09-11 Johannes Fischer , Travis Gagie , Paweł Gawrychowski , Tomasz Kociumaka

We present new algorithms for the problem of multiple string matching of gapped patterns, where a gapped pattern is a sequence of strings such that there is a gap of fixed length between each two consecutive strings. The problem has…

数据结构与算法 · 计算机科学 2014-07-08 Emanuele Giaquinta , Kimmo Fredriksson , Szymon Grabowski , Alexandru I. Tomescu , Esko Ukkonen

The effective use of parallel computing resources to speed up algorithms in current multi-core parallel architectures remains a difficult challenge, with ease of programming playing a key role in the eventual success of various parallel…

数据结构与算法 · 计算机科学 2014-12-09 Arash Farzan , Alejandro López-Ortiz , Patrick K. Nicholson , Alejandro Salinger

In this paper, a fully compressed pattern matching problem is studied. The compression is represented by straight-line programs (SLPs), i.e. a context-free grammars generating exactly one string; the term fully means that both the pattern…

数据结构与算法 · 计算机科学 2013-06-26 Artur Jeż

In this paper, we revisit the much studied problem of Pattern Matching with Swaps (Swap Matching problem, for short). We first present a graph-theoretic model, which opens a new and so far unexplored avenue to solve the problem. Then, using…

数据结构与算法 · 计算机科学 2013-09-19 Pritom Ahmed , Costas S. Iliopoulos , A. S. M. Sohidull Islam , M. Sohel Rahman

Given two point sets S and T, we study the many-to-many matching with demands problem (MMD problem) which is a generalization of the many-to-many matching problem (MM problem). In an MMD, each point of one set must be matched to a given…

数据结构与算法 · 计算机科学 2018-03-29 Fatemeh Rajabi-Alni , Alireza Bagheri

This paper addresses the online exact string matching problem which consists in finding all occurrences of a given pattern p in a text t. It is an extensively studied problem in computer science, mainly due to its direct applications to…

数据结构与算法 · 计算机科学 2010-12-14 Simone Faro , Thierry Lecroq

We revisit the complexity of one of the most basic problems in pattern matching. In the k-mismatch problem we must compute the Hamming distance between a pattern of length m and every m-length substring of a text of length n, as long as…

数据结构与算法 · 计算机科学 2015-08-28 Raphaël Clifford , Allyx Fontaine , Ely Porat , Benjamin Sach , Tatiana Starikovskaya

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…

数据结构与算法 · 计算机科学 2013-06-20 Tirtharaj Dash , Tanistha Nayak

In this work, we address the problem of approximate pattern matching with wildcards. Given a pattern $P$ of length $m$ containing $D$ wildcards, a text $T$ of length $n$, and an integer $k$, our objective is to identify all fragments of $T$…

数据结构与算法 · 计算机科学 2024-05-22 Gabriel Bathie , Panagiotis Charalampopoulos , Tatiana Starikovskaya

Given a pattern of length $m$ and a text of length $n$, the goal in $k$-mismatch pattern matching is to compute, for every $m$-substring of the text, the exact Hamming distance to the pattern or report that it exceeds $k$. This can be…

数据结构与算法 · 计算机科学 2017-04-06 Paweł Gawrychowski , Przemysław Uznański

We study a generalization of the recently introduced order-preserving pattern matching, where instead of looking for an exact copy of the pattern, we only require that the relative order between the elements is the same. In our variant, we…

数据结构与算法 · 计算机科学 2014-03-07 Pawel Gawrychowski , Przemyslaw Uznanski

As a representative sequential pattern mining problem, counting the frequency of serial episodes from a streaming sequence has drawn continuous attention in academia due to its wide application in practice, e.g., telecommunication alarms,…

数据结构与算法 · 计算机科学 2018-01-30 Hui Li , Sizhe Peng , Jian Li , Jingjing Li , Jiangtao Cui , Jianfeng Ma

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…

数据结构与算法 · 计算机科学 2023-04-04 Paweł Gawrychowski , Garance Gourdel , Tatiana Starikovskaya , Teresa Anna Steiner

We propose a quantum algorithm for closest pattern matching which allows us to search for as many distinct patterns as we wish in a given string (database), requiring a query function per symbol of the pattern alphabet. This represents a…

量子物理 · 物理学 2007-05-23 P. Mateus , Y. Omar

Mixed packing and covering problems are problems that can be formulated as linear programs using only non-negative coefficients. Examples include multicommodity network flow, the Held-Karp lower bound on TSP, fractional relaxations of set…

数据结构与算法 · 计算机科学 2016-01-19 Neal E. Young

In a seminal paper on finding large matchings in sparse random graphs, Karp and Sipser proposed two algorithms for this task. The second algorithm has been intensely studied, but due to technical difficulties, the first algorithm has…

组合数学 · 数学 2018-11-14 Michael Anastos , Alan Frieze