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Related papers: Faster Compact Top-k Document Retrieval

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Let $\D = $$ \{d_1,d_2,...d_D\}$ be a given set of $D$ string documents of total length $n$, our task is to index $\D$, such that the $k$ most relevant documents for an online query pattern $P$ of length $p$ can be retrieved efficiently. We…

Data Structures and Algorithms · Computer Science 2012-04-03 Wing-Kai Hon , Rahul Shah , Sharma V. Thankachan

Let ${\cal{D}}$ = $\{d_1, d_2, d_3, ..., d_D\}$ be a given set of $D$ (string) documents of total length $n$. The top-$k$ document retrieval problem is to index $\cal{D}$ such that when a pattern $P$ of length $p$, and a parameter $k$ come…

Data Structures and Algorithms · Computer Science 2012-11-20 Rahul Shah , Cheng Sheng , Sharma V. Thankachan , Jeffrey Scott Vitter

Let $\mathcal{D}$ be a collection of $D$ documents, which are strings over an alphabet of size $\sigma$, of total length $n$. We describe a data structure that uses linear space and and reports $k$ most relevant documents that contain a…

Data Structures and Algorithms · Computer Science 2013-08-02 Gonzalo Navarro , Yakov Nekrich

We study a document retrieval problem in the new framework where $D$ text documents are organized in a {\em category tree} with a pre-defined number $h$ of categories. This situation occurs e.g. with taxomonic trees in biology or subject…

Data Structures and Algorithms · Computer Science 2020-06-03 Djamal Belazzougui , Gregory Kucherov

Document listing on string collections is the task of finding all documents where a pattern appears. It is regarded as the most fundamental document retrieval problem, and is useful in various applications. Many of the fastest-growing…

Data Structures and Algorithms · Computer Science 2019-02-21 Dustin Cobas , Gonzalo Navarro

Supporting top-k document retrieval queries on general text databases, that is, finding the k documents where a given pattern occurs most frequently, has become a topic of interest with practical applications. While the problem has been…

Data Structures and Algorithms · Computer Science 2011-11-21 Gonzalo Navarro , Daniel Valenzuela

Most of the attention in statistical compression is given to the space used by the compressed sequence, a problem completely solved with optimal prefix codes. However, in many applications, the storage space used to represent the prefix…

Data Structures and Algorithms · Computer Science 2015-06-30 Travis Gagie , Gonzalo Navarro , Yakov Nekrich , Alberto Ordóñez

In this paper we describe compressed indexes that support pattern matching queries for strings with wildcards. For a constant size alphabet our data structure uses $O(n\log^{\varepsilon}n)$ bits for any $\varepsilon>0$ and reports all…

Data Structures and Algorithms · Computer Science 2014-01-06 Moshe Lewenstein , Yakov Nekrich , Jeffrey Scott Vitter

A central task in string processing is text indexing, where the goal is to preprocess a text (a string of length $n$) into an efficient index (a data structure) supporting queries about the text. Cole, Gottlieb, and Lewenstein (STOC 2004)…

Data Structures and Algorithms · Computer Science 2025-10-31 Tomasz Kociumaka , Jakub Radoszewski

In this paper, we present a new data structure called the packed compact trie (packed c-trie) which stores a set $S$ of $k$ strings of total length $n$ in $n \log\sigma + O(k \log n)$ bits of space and supports fast pattern matching queries…

Data Structures and Algorithms · Computer Science 2017-10-11 Takuya Takagi , Shunsuke Inenaga , Kunihiko Sadakane , Hiroki Arimura

A classic data structure problem is to preprocess a string T of length $n$ so that, given a query $q$, we can quickly find all substrings of T with Hamming distance at most $k$ from the query string. Variants of this problem have seen…

Data Structures and Algorithms · Computer Science 2026-04-03 Jackson Bibbens , Levi Borevitz , Samuel McCauley

In this paper we describe a new efficient (in fact optimal) data structure for the {\em top-$K$ color problem}. Each element of an array $A$ is assigned a color $c$ with priority $p(c)$. For a query range $[a,b]$ and a value $K$, we have to…

Data Structures and Algorithms · Computer Science 2010-10-19 Marek Karpinski , Yakov Nekrich

The suffix array and the suffix tree are the two most fundamental data structures for string processing. For a length-$n$ text, however, they use $\Theta(n \log n)$ bits of space, which is often too costly. To address this, Grossi and…

Data Structures and Algorithms · Computer Science 2023-04-20 Dominik Kempa , Tomasz Kociumaka

Text indexing is a fundamental and well-studied problem. Classic solutions either replace the original text with a compressed representation, e.g., the FM-index and its variants, or keep it uncompressed but attach some redundancy - an index…

Data Structures and Algorithms · Computer Science 2026-02-05 Lorraine A. K. Ayad , Gabriele Fici , Ragnar Groot Koerkamp , Grigorios Loukides , Rob Patro , Giulio Ermanno Pibiri , Solon P. Pissis

In the last decades, the necessity to process massive amounts of textual data fueled the development of compressed text indexes: data structures efficiently answering queries on a given text while occupying space proportional to the…

Data Structures and Algorithms · Computer Science 2024-09-24 Dominik Kempa , Tomasz Kociumaka

We study the problem of indexing text with wildcard positions, motivated by the challenge of aligning sequencing data to large genomes that contain millions of single nucleotide polymorphisms (SNPs)---positions known to differ between…

Data Structures and Algorithms · Computer Science 2011-01-28 Chris Thachuk

Text indexing is a classical algorithmic problem that has been studied for over four decades: given a text $T$, pre-process it off-line so that, later, we can quickly count and locate the occurrences of any string (the query pattern) in $T$…

Data Structures and Algorithms · Computer Science 2020-12-15 Nicola Prezza

We engineer a self-index based retrieval system capable of rank-safe evaluation of top-k queries. The framework generalizes the GREEDY approach of Culpepper et al. (ESA 2010) to handle multi-term queries, including over phrases. We propose…

Data Structures and Algorithms · Computer Science 2014-06-13 Simon Gog , Matthias Petri

We present a compressed representation of tries based on top tree compression [ICALP 2013] that works on a standard, comparison-based, pointer machine model of computation and supports efficient prefix search queries. Namely, we show how to…

Data Structures and Algorithms · Computer Science 2019-09-23 Philip Bille , Inge Li Gørtz , Paweł Gawrychowski , Gad M. Landau , Oren Weimann

Consider an input text string T[1,N] drawn from an unbounded alphabet. We study partial computation in suffix-based problems for Data Compression and Text Indexing such as (I) retrieve any segment of K<=N consecutive symbols from the…

Data Structures and Algorithms · Computer Science 2011-10-18 Gianni Franceschini , Roberto Grossi , S. Muthukrishnan
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