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Merging $T$ sorted, non-redundant lists containing $M$ elements into a single sorted, non-redundant result of size $N \ge M/T$ is a classic problem typically solved practically in $O(M \log T)$ time with a priority-queue data structure the…

数据结构与算法 · 计算机科学 2022-08-22 Gene Myers

Theories over strings are among the most heavily researched logical theories in the SMT community in the past decade, owing to the error-prone nature of string manipulations, which often leads to security vulnerabilities (e.g. cross-site…

编程语言 · 计算机科学 2021-12-15 Shuanglong Kan , Anthony W. Lin , Philipp Rümmer , Micha Schrader

Identifying palindromes in sequences has been an interesting line of research in combinatorics on words and also in computational biology, after the discovery of the relation of palindromes in the DNA sequence with the HIV virus. Efficient…

数据结构与算法 · 计算机科学 2017-03-28 Michał Adamczyk , Mai Alzamel , Panagiotis Charalampopoulos , Costas S. Iliopoulos , Jakub Radoszewski

The palindromic fingerprint of a string $S[1\ldots n]$ is the set $PF(S) = \{(i,j)~|~ S[i\ldots j] \textit{ is a maximal }\\ \textit{palindrome substring of } S\}$. In this work, we consider the problem of string reconstruction from a…

数据结构与算法 · 计算机科学 2024-06-10 Amihood Amir , Michael Itzhaki

Two strings of the same length are said to Cartesian-tree match (CT-match) if their Cartesian-trees are isomorphic [Park et al., TCS 2020]. Cartesian-tree matching is a natural model that allows for capturing similarities of numerical…

数据结构与算法 · 计算机科学 2026-01-01 Taketo Tsujimoto , Yuki Yonemoto , Hiroki Shibata , Takuya Mieno , Yuto Nakashima , Shunsuke Inenaga

Error-correcting codes resilient to synchronization errors such as insertions and deletions are known as insdel codes. Due to their important applications in DNA storage and computational biology, insdel codes have recently become a focal…

组合数学 · 数学 2024-08-21 Xiangliang Kong , Itzhak Tamo , Hengjia Wei

Given a dataset of $n$ user-contributed strings, each of length at most $\ell$, a key problem is how to identify all frequent substrings while preserving each user's privacy. Recent work by Bernardini et al. (PODS'25) introduced a…

数据结构与算法 · 计算机科学 2026-03-11 Peaker Guo , Rayne Holland , Hao Wu

In this paper we investigate the problem of building a static data structure that represents a string s using space close to its compressed size, and allows fast access to individual characters of s. This type of structures was investigated…

计算复杂性 · 计算机科学 2012-05-04 Shiteng Chen , Elad Verbin , Wei Yu

Recent works have shown that tokenisation is NP-complete. However, these works assume tokenisation is applied to inputs with unboundedly large alphabets -- an unrealistic assumption, given that in practice tokenisers operate over fixed-size…

计算与语言 · 计算机科学 2025-11-20 Violeta Kastreva , Philip Whittington , Dennis Komm , Tiago Pimentel

We introduce string2string, an open-source library that offers a comprehensive suite of efficient algorithms for a broad range of string-to-string problems. It includes traditional algorithmic solutions as well as recent advanced neural…

计算与语言 · 计算机科学 2023-04-28 Mirac Suzgun , Stuart M. Shieber , Dan Jurafsky

Suffix arrays and LCP arrays are one of the most fundamental data structures widely used for various kinds of string processing. We consider two problems for a read-only string of length $N$ over an integer alphabet $[1, \dots, \sigma]$ for…

数据结构与算法 · 计算机科学 2019-07-16 Keisuke Goto

There are at present two known string theories in $(2,2)$ dimensions. One of them is the well known $N=2$ string, and the other one is a more recently constructed $N=1$ spacetime supersymmetric string. They are both based on certain…

高能物理 - 理论 · 物理学 2010-04-06 H. Lu , C. N. Pope , E. Sezgin

Insdel errors occur in communication systems caused by the loss of positional information of the message. Since the work by Guruswami and Wang, there have been some further investigations on the list decoding of insertion codes, deletion…

信息论 · 计算机科学 2020-09-30 Shu Liu , Ivan Tjuawinata , Chaoping Xing

The problem of dictionary matching is a classical problem in string matching: given a set S of d strings of total length n characters over an (not necessarily constant) alphabet of size sigma, build a data structure so that we can match in…

数据结构与算法 · 计算机科学 2015-05-18 Djamal Belazzougui

String analysis is the problem of reasoning about how strings are manipulated by a program. It has numerous applications including automatic detection of cross-site scripting (XSS). A popular string analysis technique includes symbolic…

计算机科学中的逻辑 · 计算机科学 2020-11-02 Lukas Holik , Petr Janku , Anthony W. Lin , Philipp Rümmer , Tomas Vojnar

Covers being one of the most popular form of regularities in strings, have drawn much attention over time. In this paper, we focus on the problem of linear time inference of strings from cover arrays using the least sized alphabet possible.…

数据结构与算法 · 计算机科学 2011-08-30 Tanaeem M. Moosa , Sumaiya Nazeen , M. Sohel Rahman , Rezwana Reaz

Distribution matching is the process of invertibly mapping a uniformly distributed input sequence onto sequences that approximate the output of a desired discrete memoryless source. The special case of a binary output alphabet and…

信息论 · 计算机科学 2017-12-19 Patrick Schulte , Bernhard C. Geiger

Longest common extension queries (often called longest common prefix queries) constitute a fundamental building block in multiple string algorithms, for example computing runs and approximate pattern matching. We show that a sequence of $q$…

数据结构与算法 · 计算机科学 2016-04-08 Paweł Gawrychowski , Tomasz Kociumaka , Wojciech Rytter , Tomasz Waleń

Motivated by mass-spectrometry protein sequencing, we consider a simply-stated problem of reconstructing a string from the multiset of its substring compositions. We show that all strings of length 7, one less than a prime, or one less than…

离散数学 · 计算机科学 2014-03-12 Jayadev Acharya , Hirakendu Das , Olgica Milenkovic , Alon Orlitsky , Shengjun Pan

We study uniquely decodable codes and list decodable codes in the high-noise regime, specifically codes that are uniquely decodable from $\frac{1-\varepsilon}{2}$ fraction of errors and list decodable from $1-\varepsilon$ fraction of…

信息论 · 计算机科学 2024-11-06 Xin Li , Songtao Mao