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[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 …
to compute Monotone Min-Plus Product between two square matrices of dimensions n× n …
Optimal algorithms for bounded weighted edit distance
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 …
number of insertions, deletions, and substitutions of characters needed to transform one …
Weighted edit distance computation: Strings, trees, and Dyck
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 …
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
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 …
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
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 …
the most fundamental context-free languages. The Dyck edit distance quantifies the number …
O (n+ poly (k))-time algorithm for bounded tree edit distance
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 …
science and combinatorial optimization. Tree edit distance is a natural generalization of edit …
Faster Weighted and Unweighted Tree Edit Distance and APSP Equivalence
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 …
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
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 …
substitutions needed to transform one string into the other. The textbook algorithm …
Removing the log Factor from (min,+)-Products on Bounded Range Integer Matrices
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 …
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
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 …
and Dyck edit distance that are simple, deterministic and fast, but whose approximation …