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Collapsing the hierarchy of compressed data structures: Suffix arrays in optimal compressed space
D Kempa, T Kociumaka - 2023 IEEE 64th Annual Symposium …, 2023 - ieeexplore.ieee.org
The last two decades have witnessed a dramatic increase in the amount of highly repetitive
datasets consisting of sequential data (strings, texts). Processing these massive amounts of …
datasets consisting of sequential data (strings, texts). Processing these massive amounts of …
Dynamic suffix array with polylogarithmic queries and updates
D Kempa, T Kociumaka - Proceedings of the 54th Annual ACM SIGACT …, 2022 - dl.acm.org
The suffix array SA [1.. n] of a text T of length n is a permutation of {1,…, n} describing the
lexicographical ordering of suffixes of T and is considered to be one of the most important …
lexicographical ordering of suffixes of T and is considered to be one of the most important …
Internal pattern matching queries in a text and applications
We consider several types of internal queries, that is, questions about fragments of a given
text specified in constant space by their locations in. Our main result is an optimal data …
text specified in constant space by their locations in. Our main result is an optimal data …
Quantum Speed-Ups for String Synchronizing Sets, Longest Common Substring, and k-mismatch Matching
Longest common substring (LCS) is an important text processing problem, which has
recently been investigated in the quantum query model. The decision version of this …
recently been investigated in the quantum query model. The decision version of this …
Approximate circular pattern matching under edit distance
P Charalampopoulos, SP Pissis, J Radoszewski… - arxiv preprint arxiv …, 2024 - arxiv.org
In the $ k $-Edit Circular Pattern Matching ($ k $-Edit CPM) problem, we are given a length-$
n $ text $ T $, a length-$ m $ pattern $ P $, and a positive integer threshold $ k $, and we are …
n $ text $ T $, a length-$ m $ pattern $ P $, and a positive integer threshold $ k $, and we are …
Small-space and streaming pattern matching with edits
T Kociumaka, E Porat… - 2021 IEEE 62nd Annual …, 2022 - ieeexplore.ieee.org
In this work, we revisit the fundamental and well-studied problem of approximate pattern
matching under edit distance. Given an integer k, a pattern P of length m, and a text T of …
matching under edit distance. Given an integer k, a pattern P of length m, and a text T of …
Faster pattern matching under edit distance: A reduction to dynamic puzzle matching and the seaweed monoid of permutation matrices
P Charalampopoulos, T Kociumaka… - 2022 IEEE 63rd …, 2022 - ieeexplore.ieee.org
We consider the approximate pattern matching problem under the edit distance. Given a text
T of length n, a pattern P of length m, and a threshold k, the task is to find the starting …
T of length n, a pattern P of length m, and a threshold k, the task is to find the starting …
[PDF][PDF] On the communication complexity of approximate pattern matching
The decades-old Pattern Matching with Edits problem, given a length-n string T (the text), a
length-m string P (the pattern), and a positive integer k (the threshold), asks to list all …
length-m string P (the pattern), and a positive integer k (the threshold), asks to list all …
Optimal algorithms for bounded weighted edit distance
A Cassis, T Kociumaka… - 2023 IEEE 64th Annual …, 2023 - ieeexplore.ieee.org
The edit distance (also known as Levenshtein distance) of two strings is the minimum
number of insertions, deletions, and substitutions of characters needed to transform one …
number of insertions, deletions, and substitutions of characters needed to transform one …
Approximating edit distance in the fully dynamic model
T Kociumaka, A Mukherjee… - 2023 IEEE 64th Annual …, 2023 - ieeexplore.ieee.org
The edit distance is a fundamental measure of sequence similarity, defined as the minimum
number of character insertions, deletions, and substitutions needed to transform one string …
number of character insertions, deletions, and substitutions needed to transform one string …