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Compressed indexing is a powerful technique that enables efficient querying over data stored in compressed form, significantly reducing memory usage and often accelerating computation. While extensive progress has been made for…

数据结构与算法 · 计算机科学 2025-10-23 Rajat De , Dominik Kempa

We present linear-space data structures for several frequency queries on trees, namely: path mode, path least frequent element, and path $\alpha$-minority queries. We present the first linear-space data structures, requiring $O(n…

数据结构与算法 · 计算机科学 2026-04-22 Ovidiu Rata

Given a string $s$ of length $n$ over a general alphabet and an integer $k$, the problem is to decide whether $s$ is a concatenation of $k$ nonempty palindromes. Two previously known solutions for this problem work in time $O(kn)$ and…

数据结构与算法 · 计算机科学 2020-07-07 Mikhail Rubinchik , Arseny M. Shur

In this paper, we consider a generalized longest common subsequence problem, the string-excluding constrained LCS problem. For the two input sequences $X$ and $Y$ of lengths $n$ and $m$, and a constraint string $P$ of length $r$, the…

数据结构与算法 · 计算机科学 2013-01-31 Lei Wang , Xiaodong Wang , Yingjie Wu , Daxin Zhu

We study the problem of supporting queries on a string $S$ of length $n$ within a space bounded by the size $\gamma$ of a string attractor for $S$. Recent works showed that random access on $S$ can be supported in optimal…

数据结构与算法 · 计算机科学 2018-12-24 Nicola Prezza

We study the query complexity of exactly reconstructing a string from adaptive queries, such as substring, subsequence, and jumbled-index queries. Such problems have applications, e.g., in computational biology. We provide a number of new…

数据结构与算法 · 计算机科学 2020-11-26 Ramtin Afshar , Amihood Amir , Michael T. Goodrich , Pedro Matias

A cut-down de Bruijn sequence is a cyclic string of length $L$, where $1 \leq L \leq k^n$, such that every substring of length $n$ appears at most once. Etzion [Theor. Comp. Sci 44 (1986)] gives an algorithm to construct binary cut-down de…

数据结构与算法 · 计算机科学 2023-08-30 Ben Cameron , Aysu Gündoğan , Joe Sawada

We devise a data structure that can answer shortest path queries for two query points in a polygonal domain $P$ on $n$ vertices. For any $\varepsilon > 0$, the space complexity of the data structure is $O(n^{10+\varepsilon })$ and queries…

计算几何 · 计算机科学 2024-02-22 Sarita de Berg , Tillmann Miltzow , Frank Staals

We revisit the classic border tree data structure [Gu, Farach, Beigel, SODA 1994] that answers the following prefix-suffix queries on a string $T$ of length $n$ over an integer alphabet $\Sigma=[0,\sigma)$: for any $i,j \in [0,n)$ return…

数据结构与算法 · 计算机科学 2024-11-07 Solon P. Pissis

A palindrome is a string that reads the same as its reverse, such as "aibohphobia" (fear of palindromes). Given an integer $d>0$, a $d$-near-palindrome is a string of Hamming distance at most $d$ from its reverse. We study the natural…

数据结构与算法 · 计算机科学 2017-05-05 Elena Grigorescu , Erfan Sadeqi Azer , Samson Zhou

The problem of finding a longest common subsequence of two main sequences with some constraint that must be a substring of the result (STR-IC-LCS) was formulated recently. It is a variant of the constrained longest common subsequence…

数据结构与算法 · 计算机科学 2011-07-01 Sebastian Deorowicz

Karpinski and Nekrich (2008) introduced the problem of parameterized range majority, which asks us to preprocess a string of length $n$ such that, given the endpoints of a range, one can quickly find all the distinct elements whose relative…

数据结构与算法 · 计算机科学 2016-06-15 Djamal Belazzougui , Travis Gagie , J. Ian Munro , Gonzalo Navarro , Yakov Nekrich

In the polytope membership problem, a convex polytope $K$ in $R^d$ is given, and the objective is to preprocess $K$ into a data structure so that, given a query point $q \in R^d$, it is possible to determine efficiently whether $q \in K$.…

计算几何 · 计算机科学 2018-01-11 Sunil Arya , Guilherme D. da Fonseca , David M. Mount

We propose algorithms that, given the input string of length $n$ over integer alphabet of size $\sigma$, construct the Burrows-Wheeler transform (BWT), the permuted longest-common-prefix (PLCP) array, and the LZ77 parsing in…

数据结构与算法 · 计算机科学 2020-12-09 Dominik Kempa

We introduce a novel definition of approximate palindromes in strings, and provide an algorithm to find all maximal approximate palindromes in a string with up to $k$ errors. Our definition is based on the usual edit operations of…

数据结构与算法 · 计算机科学 2007-05-23 A. H. L. Porto , V. C. Barbosa

Frequent pattern mining is a flagship problem in data mining. In its most basic form, it asks for the set of substrings of a given string $S$ of length $n$ that occur at least $\tau$ times in $S$, for some integer $\tau\in[1,n]$. We…

The {\em longest common subsequence (LCS)} problem is a classic and well-studied problem in computer science. Palindrome is a word which reads the same forward as it does backward. The {\em longest common palindromic subsequence (LCPS)}…

数据结构与算法 · 计算机科学 2011-10-25 Shihabur Rahman Chowdhury , Md. Mahbubul Hasan , Sumaiya Iqbal , M. Sohel Rahman

The palindrome pattern matching (pal-matching) is a kind of generalized pattern matching, in which two strings $x$ and $y$ of same length are considered to match (pal-match) if they have the same palindromic structures, i.e., for any…

数据结构与算法 · 计算机科学 2023-04-17 Shinya Nagashita , Tomohiro I

We study the following problem: preprocess a set O of objects into a data structure that allows us to efficiently report all pairs of objects from O that intersect inside an axis-aligned query range Q. We present data structures of size…

数据结构与算法 · 计算机科学 2015-02-24 Mark de Berg , Joachim Gudmundsson , Ali D. Mehrabi

The Binary Jumbled String Matching problem is defined as: Given a string $s$ over $\{a,b\}$ of length $n$ and a query $(x,y)$, with $x,y$ non-negative integers, decide whether $s$ has a substring $t$ with exactly $x$ $a$'s and $y$ $b$'s.…

数据结构与算法 · 计算机科学 2013-06-03 Golnaz Badkobeh , Gabriele Fici , Steve Kroon , Zsuzsanna Lipták