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 …
Bijective BWT based compression schemes
We investigate properties of the bijective Burrows-Wheeler transform (BBWT). We show that
for any string w, a bidirectional macro scheme of size O (r B) can be induced from the BBWT …
for any string w, a bidirectional macro scheme of size O (r B) can be induced from the BBWT …
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 …
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 …
On the approximation ratio of LZ-End to LZ77
A family of Lempel-Ziv factorizations is a well-studied string structure. The LZ-End
factorization is a member of the family that achieved faster extraction of any substrings (Kreft …
factorization is a member of the family that achieved faster extraction of any substrings (Kreft …
Compressibility-aware quantum algorithms on strings
Sublinear time quantum algorithms have been established for many fundamental problems
on strings. This work demonstrates that new, faster quantum algorithms can be designed …
on strings. This work demonstrates that new, faster quantum algorithms can be designed …
[PDF][PDF] Bijective BWT based Compression Schemes
D Köppl - koeppl.github.io
We investigate properties of the bijective Burrows-Wheeler transform (BBWT). We show that
for any string w, a bidirectional macro scheme of size O (rB) can be induced from the BBWT …
for any string w, a bidirectional macro scheme of size O (rB) can be induced from the BBWT …