Streaming and small space approximation algorithms for edit distance and longest common subsequence

K Cheng, A Farhadi, MT Hajiaghayi, Z Jin… - 48th International …, 2021 - drops.dagstuhl.de
The edit distance (ED) and longest common subsequence (LCS) are two fundamental
problems which quantify how similar two strings are to one another. In this paper, we first …

Longest (sub-) periodic subsequence

H Bannai, D Köppl - arXiv preprint arXiv:2202.07189, 2022 - arxiv.org
We present an algorithm computing the longest periodic subsequence of a string of length $
n $ in $ O (n^ 7) $ time with $ O (n^ 4) $ words of space. We obtain improvements when …

Computing longest (common) Lyndon subsequences

H Bannai, TI, T Kociumaka, D Köppl… - International Workshop on …, 2022 - Springer
Given a string T with length n whose characters are drawn from an ordered alphabet of size
σ, its longest Lyndon subsequence is a longest subsequence of T that is a Lyndon word. We …

Computing Longest Lyndon Subsequences and Longest Common Lyndon Subsequences

H Bannai, TI, T Kociumaka, D Köppl, SJ Puglisi - Algorithmica, 2024 - Springer
Given a string T of length n whose characters are drawn from an ordered alphabet of size σ,
its longest Lyndon subsequence is a maximum-length subsequence of T that is a Lyndon …

[HTML][HTML] Longest bordered and periodic subsequences

H Bannai, I Tomohiro, D Köppl - Information Processing Letters, 2023 - Elsevier
We present an algorithm computing the longest periodic subsequence of a string of length n
in O (n 7) time with O (n 3) space. We obtain improvements when restricting the exponents …

Algorithms for the uniqueness of the longest common subsequence

Y Wang - arXiv preprint arXiv:2301.03827, 2023 - arxiv.org
Given several number sequences, determining the longest common subsequence is a
classical problem in computer science. This problem has applications in bioinformatics …

Inclusive bidirectional conversion system between Chittagonian and standard Bangla

N Hossain, HR Milon, SNU Sabbir, A Inan - Bulletin of Electrical …, 2022 - beei.org
In recent years, the Bangla language has come out as a very prominent figure in the world of
natural language processing. Many researchers have produced exemplary works on the …

Determine transposable genes when the orders of genes are different

Y Wang - bioRxiv, 2023 - biorxiv.org
Certain nucleotide sequences in DNA can change their positions. Such nucleotide
sequences might be shorter than a general gene. When we restrict to nucleotide sequences …

[PDF][PDF] String Measures: Computational Complexity and Related Problems in Communication

Y Zheng - 2022 - jscholarship.library.jhu.edu
Strings are fundamental objects in computer science. Modern applications such as text
processing, bioinformatics, and distributed data storage systems often need to deal with very …

[PDF][PDF] Computing Longest (Common) Lyndon Subsequences

SJ Puglisi - koeppl.github.io
Given a string T with length n whose characters are drawn from an ordered alphabet of size
σ, its longest Lyndon subsequence is a longest subsequence of T that is a Lyndon word. We …