[HTML][HTML] Improved bounds for rectangular monotone min-plus product and applications

A Dürr - Information Processing Letters, 2023 - Elsevier
In a recent breakthrough paper, Chi et al.(STOC'22) introduce an O˜(n 3+ ω 2) time algorithm
to compute Monotone Min-Plus Product between two square matrices of dimensions n× n …

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 …

Weighted edit distance computation: Strings, trees, and Dyck

D Das, J Gilbert, MT Hajiaghayi, T Kociumaka… - Proceedings of the 55th …, 2023 - dl.acm.org
Given two strings of length n over alphabet Σ, and an upper bound k on their edit distance,
the algorithm of Myers (Algorithmica'86) and Landau and Vishkin (JCSS'88) from almost …

Small-space algorithms for the online language distance problem for palindromes and squares

G Bathie, T Kociumaka, T Starikovskaya - arxiv preprint arxiv:2309.14788, 2023 - arxiv.org
We study the online variant of the language distance problem for two classical formal
languages, the language of palindromes and the language of squares, and for the two most …

Improved approximation algorithms for Dyck edit distance and RNA folding

D Das, T Kociumaka, B Saha - arxiv preprint arxiv:2112.05866, 2021 - arxiv.org
The Dyck language, which consists of well-balanced sequences of parentheses, is one of
the most fundamental context-free languages. The Dyck edit distance quantifies the number …

O (n+ poly (k))-time algorithm for bounded tree edit distance

D Das, J Gilbert, MT Hajiaghayi… - 2022 IEEE 63rd …, 2022 - ieeexplore.ieee.org
Computing the edit distance of two strings is one of the most basic problems in computer
science and combinatorial optimization. Tree edit distance is a natural generalization of edit …

Faster Weighted and Unweighted Tree Edit Distance and APSP Equivalence

J Nogler, A Polak, B Saha, VV Williams, Y Xu… - arxiv preprint arxiv …, 2024 - arxiv.org
The tree edit distance (TED) between two rooted ordered trees with $ n $ nodes labeled
from an alphabet $\Sigma $ is the minimum cost of transforming one tree into the other by a …

Bounded Edit Distance: Optimal Static and Dynamic Algorithms for Small Integer Weights

E Gorbachev, T Kociumaka - arxiv preprint arxiv:2404.06401, 2024 - arxiv.org
The edit distance of two strings is the minimum number of insertions, deletions, and
substitutions needed to transform one string into the other. The textbook algorithm …

Removing the log Factor from (min,+)-Products on Bounded Range Integer Matrices

D Fried, T Kopelowitz, E Porat - 32nd Annual European …, 2024 - drops.dagstuhl.de
We revisit the problem of multiplying two square matrices over the (min,+) semi-ring, where
all entries are integers from a bounded range [-M: M]∪{∞}. The current state of the art for …

Simple, deterministic, fast (but weak) approximations to edit distance and Dyck edit distance

M Koucký, M Saks - Proceedings of the 2023 Annual ACM-SIAM …, 2023 - SIAM
We consider the problem of obtaining approximation algorithms for standard edit distance
and Dyck edit distance that are simple, deterministic and fast, but whose approximation …