Near-optimal quantum algorithms for bounded edit distance and Lempel-Ziv factorization
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 …
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 …
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 …
construct the Burrows–Wheeler transform (BWT), the permuted longest-common-prefix …
[HTML][HTML] Inverse Lyndon words and inverse Lyndon factorizations of words
Motivated by applications to string processing, we introduce variants of the Lyndon
factorization called inverse Lyndon factorizations. Their factors, named inverse 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 …
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
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 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
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 …
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?
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 …
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
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 …
been introduced and investigated with different motivations. In particular, the canonical …
Lyndon words versus inverse Lyndon words: Queries on suffixes and bordered words
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 …
several variants of it have been proposed. In particular, the canonical inverse Lyndon …