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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

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

The well-known dictionary-based algorithms of the Lempel-Ziv (LZ) 77 family are the basis of several universal lossless compression techniques. These algorithms are asymmetric regarding encoding/decoding time and memory requirements, with…

Data Structures and Algorithms · Computer Science 2009-12-31 Artur Ferreira , Arlindo Oliveira , Mario Figueiredo

We present first algorithmic ideas for a practical and lightweight adaption of the DCX suffix array construction algorithm [Sanders et al., 2003] to the distributed-memory setting. Our approach relies on a bucketing technique which enables…

Data Structures and Algorithms · Computer Science 2024-12-16 Manuel Haag , Florian Kurpicz , Peter Sanders , Matthias Schimek

We consider an index data structure for similar strings. The generalized suffix tree can be a solution for this. The generalized suffix tree of two strings $A$ and $B$ is a compacted trie representing all suffixes in $A$ and $B$. It has…

Data Structures and Algorithms · Computer Science 2013-05-09 Joong Chae Na , Heejin Park , Maxime Crochemore , Jan Holub , Costas S. Iliopoulos , Laurent Mouchard , Kunsoo Park

In recent years, RDF has gained popularity as a format for the standardized publication and exchange of information in the Web of Data. In this paper we introduce RDFCSA, a data structure that is able to self-index an RDF dataset in small…

Data Structures and Algorithms · Computer Science 2024-10-30 Nieves R. Brisaboa , Ana Cerdeira-Pena , Guillermo de Bernardo , Antonio Fariña , Gonzalo Navarro

Recently, a compressed index for similar strings, called the FM-index of alignment (FMA), has been proposed with the functionalities of pattern search and random access. The FMA is quite efficient in space requirement and pattern search…

Data Structures and Algorithms · Computer Science 2016-06-14 Joong Chae Na , Hyunjoon Kim , Seunghwan Min , Heejin Park , Thierry Lecroq , Martine Leonard , Laurent Mouchardd , Kunsoo Park

Suffix trees have emerged to be very fast for pattern searching yielding O (m) time, where m is the pattern size. Unfortunately their high memory requirements make it impractical to work with huge amounts of data. We present a memory…

Data Structures and Algorithms · Computer Science 2017-03-08 Freeson Kaniwa , Venu Madhav Kuthadi , Otlhapile Dinakenyane , Heiko Schroeder

The suffix array is arguably one of the most important data structures in sequence analysis and consequently there is a multitude of suffix sorting algorithms. However, to this date the GSACA algorithm introduced in 2015 is the only known…

Data Structures and Algorithms · Computer Science 2022-08-31 Jannik Olbrich , Enno Ohlebusch , Thomas Büchler

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

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

Suffix tree (and the closely related suffix array) are fundamental structures capturing all substrings of a given text essentially by storing all its suffixes in the lexicographical order. In some applications, we work with a subset of $b$…

Data Structures and Algorithms · Computer Science 2016-08-03 Paweł Gawrychowski , Tomasz Kociumaka

An optimal index solving top-k document retrieval [Navarro and Nekrich, SODA12] takes O(m + k) time for a pattern of length m, but its space is at least 80n bytes for a collection of n symbols. We reduce it to 1.5n to 3n bytes, with…

Data Structures and Algorithms · Computer Science 2012-11-26 Roberto Konow , Gonzalo Navarro

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

FM-indexes are a crucial data structure in DNA alignment, for example, but searching with them usually takes at least one random access per character in the query pattern. Ferragina and Fischer observed in 2007 that word-based indexes often…

Data Structures and Algorithms · Computer Science 2023-05-11 Aaron Hong , Marco Oliva , Dominik Köppl , Hideo Bannai , Christina Boucher , Travis Gagie

Recently, Cenzato et al.\ proposed a new text index, called the \emph{suffixient array}, which is a subset of the suffix array and supports locating a single pattern occurrence or finding its maximal exact matches (MEMs), assuming random…

Data Structures and Algorithms · Computer Science 2026-05-07 Paola Bonizzoni , Younan Gao , Brian Riccardi

Given string $S[1..N]$ and integer $k$, the {\em suffix selection} problem is to determine the $k$th lexicographically smallest amongst the suffixes $S[i... N]$, $1 \leq i \leq N$. We study the suffix selection problem in the cache-aware…

Data Structures and Algorithms · Computer Science 2009-02-11 Gianni Franceschini , Roberto Grossi , S. Muthukrishnan

Representing visual data using compact binary codes is attracting increasing attention as binary codes are used as direct indices into hash table(s) for fast non-exhaustive search. Recent methods show that ranking binary codes using…

Data Structures and Algorithms · Computer Science 2023-06-07 Zhenyu Weng , Huiping Zhuang , Haizhou Li , Zhiping Lin

In this work, we present a literature review for full-text and keyword indexes as well as our contributions (which are mostly practice-oriented). The first contribution is the FM-bloated index, which is a modification of the well-known…

Data Structures and Algorithms · Computer Science 2015-08-27 Aleksander Cisłak

The suffix array is the key to efficient solutions for myriads of string processing problems in different applications domains, like data compression, data mining, or Bioinformatics. With the rapid growth of available data, suffix array…

Data Structures and Algorithms · Computer Science 2016-10-11 Timo Bingmann , Simon Gog , Florian Kurpicz