Median String Problem with Unbounded Alphabets (Median String Problem)
Revision as of 10:26, 15 February 2023 by Admin (talk | contribs) (Created page with "{{DISPLAYTITLE:Median String Problem with Unbounded Alphabets (Median String Problem)}} == 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 == <pre>n:...")
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
Space Complexity graph
Pareto Decades graph
References/Citation
https://link.springer.com/content/pdf/10.1007/3-540-44888-8_23.pdf