Many Flavors of Edit Distance

Fuente: arXiv
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Main Authors: Bhattacharya, Sudatta, Dey, Sanjana, Goldenberg, Elazar, Koucký, Michal
Format: Preprint
Published: 2024
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author Bhattacharya, Sudatta
Dey, Sanjana
Goldenberg, Elazar
Koucký, Michal
author_facet Bhattacharya, Sudatta
Dey, Sanjana
Goldenberg, Elazar
Koucký, Michal
contents Several measures exist for string similarity, including notable ones like the edit distance and the indel distance. The former measures the count of insertions, deletions, and substitutions required to transform one string into another, while the latter specifically quantifies the number of insertions and deletions. Many algorithmic solutions explicitly address one of these measures, and frequently techniques applicable to one can also be adapted to work with the other. In this paper, we investigate whether there exists a standardized approach for applying results from one setting to another. Specifically, we demonstrate the capability to reduce questions regarding string similarity over arbitrary alphabets to equivalent questions over a binary alphabet. Furthermore, we illustrate how to transform questions concerning indel distance into equivalent questions based on edit distance. This complements an earlier result of Tiskin (2007) which addresses the inverse direction.
format Preprint
id arxiv_https___arxiv_org_abs_2410_09877
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Many Flavors of Edit Distance
Bhattacharya, Sudatta
Dey, Sanjana
Goldenberg, Elazar
Koucký, Michal
Data Structures and Algorithms
Several measures exist for string similarity, including notable ones like the edit distance and the indel distance. The former measures the count of insertions, deletions, and substitutions required to transform one string into another, while the latter specifically quantifies the number of insertions and deletions. Many algorithmic solutions explicitly address one of these measures, and frequently techniques applicable to one can also be adapted to work with the other. In this paper, we investigate whether there exists a standardized approach for applying results from one setting to another. Specifically, we demonstrate the capability to reduce questions regarding string similarity over arbitrary alphabets to equivalent questions over a binary alphabet. Furthermore, we illustrate how to transform questions concerning indel distance into equivalent questions based on edit distance. This complements an earlier result of Tiskin (2007) which addresses the inverse direction.
title Many Flavors of Edit Distance
topic Data Structures and Algorithms
url https://arxiv.org/abs/2410.09877