Edit Sequence, constant-size alphabet (Sequence Alignment)

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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

n, m: lengths of input strings; assume n≥m

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

Space Complexity Graph

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

Pareto Frontier Improvements Graph

Sequence Alignment - Edit Sequence, constant-size alphabet - Pareto Frontier.png

References/Citation

https://www-sciencedirect-com.ezproxy.canberra.edu.au/science/article/pii/0022000080900021?via%3Dihub