Median String Problem with Unbounded Alphabets: Difference between revisions
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== Time Complexity | == Time Complexity Graph == | ||
[[File:Median String Problem - Median String Problem with Unbounded Alphabets - Time.png|1000px]] | [[File:Median String Problem - Median String Problem with Unbounded Alphabets - Time.png|1000px]] | ||
== Space Complexity | == Space Complexity Graph == | ||
[[File:Median String Problem - Median String Problem with Unbounded Alphabets - Space.png|1000px]] | [[File:Median String Problem - Median String Problem with Unbounded Alphabets - Space.png|1000px]] | ||
== Pareto | == Pareto Frontier Improvements Graph == | ||
[[File:Median String Problem - Median String Problem with Unbounded Alphabets - Pareto Frontier.png|1000px]] | [[File:Median String Problem - Median String Problem with Unbounded Alphabets - Pareto Frontier.png|1000px]] | ||
Revision as of 13:05, 15 February 2023
Description
Given an unbounded alphabet $\Sigma$, a set $W$ of strings over $\Sigma$, and the Levenshtein distance between strings, find a string over $\Sigma$ that minimizes the sum of distances to the strings of $W$.
Related Problems
Related: Median String Problem with Bounded Alphabets, Median String Problem with Binary Alphabets
Parameters
n: number of strings
Table of Algorithms
| Name | Year | Time | Space | Approximation Factor | Model | Reference |
|---|---|---|---|---|---|---|
| Naive Solution | 1965 | {2}^$O(n)$ | $O(n)$ auxiliary | Exact | Deterministic |
Time Complexity Graph
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Space Complexity Graph
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Pareto Frontier Improvements Graph
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References/Citation
https://link-springer-com.ezproxy.canberra.edu.au/content/pdf/10.1007/3-540-44888-8_23.pdf