Edit Sequence, constant-size alphabet: Difference between revisions

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[[File:Sequence Alignment - Edit Sequence, constant-size alphabet - Time.png|1000px]]
[[File:Sequence Alignment - Edit Sequence, constant-size alphabet - Time.png|1000px]]
== Space Complexity Graph ==
[[File:Sequence Alignment - Edit Sequence, constant-size alphabet - Space.png|1000px]]
== Time-Space Tradeoff ==
[[File:Sequence Alignment - Edit Sequence, constant-size alphabet - Pareto Frontier.png|1000px]]


== References/Citation ==  
== References/Citation ==  


https://www.sciencedirect.com/science/article/pii/0022000080900021?via%3Dihub
https://www.sciencedirect.com/science/article/pii/0022000080900021?via%3Dihub

Latest revision as of 10:07, 28 April 2023

Description

Given two strings, determine the shortest sequence of edits required to transform one of the strings into the other. Assume we have a constant-size alphabet.

Related Problems

Generalizations: Edit Distance, constant-size alphabet

Parameters

$m,n$: lengths of input strings; assume $m\leq n$

Table of Algorithms

Name Year Time Space Approximation Factor Model Reference
Gapped BLAST 1997 $O(mn)$ $O(mn)$? Exact Deterministic Time
Basic Local Alignment Search Tool (BLAST) 1990 $O(mn)$ $O(mn)$? Exact Deterministic Time

Time Complexity Graph

Sequence Alignment - Edit Sequence, constant-size alphabet - Time.png

References/Citation

https://www.sciencedirect.com/science/article/pii/0022000080900021?via%3Dihub