Near-optimal quantum algorithms for bounded edit distance and Lempel-Ziv factorization

D Gibney, C **, T Kociumaka, SV Thankachan - Proceedings of the 2024 …, 2024 - SIAM
Measuring sequence similarity and compressing texts are among the most fundamental
tasks in string algorithms. In this work, we develop near-optimal quantum algorithms for the …

On repetitiveness measures of Thue-Morse words

K Kutsukake, T Matsumoto, Y Nakashima… - … Symposium on String …, 2020 - Springer
We show that the size γ (t_n) of the smallest string attractor of the n-th Thue-Morse word t_n
is 4 for any n ≥ 4, disproving the conjecture by Mantaci et al. ICTCS 2019 that it is n. We …

Optimal construction of compressed indexes for highly repetitive texts

D Kempa - Proceedings of the Thirtieth Annual ACM-SIAM …, 2019 - SIAM
We propose algorithms that, given the input string of length n over integer alphabet of size σ,
construct the Burrows–Wheeler transform (BWT), the permuted longest-common-prefix …

[HTML][HTML] Inverse Lyndon words and inverse Lyndon factorizations of words

P Bonizzoni, C De Felice, R Zaccagnino… - Advances in Applied …, 2018 - Elsevier
Motivated by applications to string processing, we introduce variants of the Lyndon
factorization called inverse Lyndon factorizations. Their factors, named inverse Lyndon …

Lempel-Ziv: a “one-bit catastrophe” but not a tragedy

G Lagarde, S Perifel - Proceedings of the Twenty-Ninth Annual ACM-SIAM …, 2018 - SIAM
The so-called “one-bit catastrophe” for the compression algorithm LZ'78 asks whether the
compression ratio of an infinite word can change when a single bit is added in front of it. We …

Finding an optimal alphabet ordering for Lyndon factorization is hard

D Gibney, SV Thankachan - 38th International Symposium on …, 2021 - drops.dagstuhl.de
This work establishes several strong hardness results on the problem of finding an ordering
on a string's alphabet that either minimizes or maximizes the number of factors in that string's …

On the size of overlap** Lempel-Ziv and Lyndon factorizations

Y Urabe, Y Nakashima, S Inenaga… - … Matching (CPM 2019 …, 2019 - drops.dagstuhl.de
Lempel-Ziv (LZ) factorization and Lyndon factorization are well-known factorizations of
strings. Recently, Kärkkäinen et al. studied the relation between the sizes of the two …

Can Formal Languages help Pangenomics to represent and analyze multiple genomes?

P Bonizzoni, C De Felice, Y Pirola, R Rizzi… - … on Developments in …, 2022 - Springer
Graph pangenomics is a new emerging field in computational biology that is changing the
traditional view of a reference genome from a linear sequence to a new paradigm: a …

On the longest common prefix of suffixes in an inverse Lyndon factorization and other properties

P Bonizzoni, C De Felice, R Zaccagnino… - Theoretical Computer …, 2021 - Elsevier
The Lyndon factorization of a word has been largely studied and recently variants of it have
been introduced and investigated with different motivations. In particular, the canonical …

Lyndon words versus inverse Lyndon words: Queries on suffixes and bordered words

P Bonizzoni, C De Felice, R Zaccagnino… - … Conference on Language …, 2020 - Springer
The Lyndon factorization of a word has been extensively studied in different contexts and
several variants of it have been proposed. In particular, the canonical inverse Lyndon …