Longest Palindromic Substring (Longest Palindromic Substring)
Revision as of 10:23, 15 February 2023 by Admin (talk | contribs) (Created page with "{{DISPLAYTITLE:Longest Palindromic Substring (Longest Palindromic Substring)}} == Description == Given a string of length $n$, find the palindromic substrings of maximal length. == Parameters == <pre>n: length of given string</pre> == Table of Algorithms == {| class="wikitable sortable" style="text-align:center;" width="100%" ! Name !! Year !! Time !! Space !! Approximation Factor !! Model !! Reference |- | Naive (Longest Palindromic Substring Longest Palin...")
Description
Given a string of length $n$, find the palindromic substrings of maximal length.
Parameters
n: length of given string
Table of Algorithms
| Name | Year | Time | Space | Approximation Factor | Model | Reference |
|---|---|---|---|---|---|---|
| Naive | 1940 | $O(n^{3})$ | $O({1})$ auxiliary | Exact | Deterministic | Space |
| Dynamic Programming | 1953 | $O(n^{2})$ | $O(n^{2})$ | Exact | Deterministic | Space |
| Manacher | 1975 | $O(n)$ | $O(n)$ auxiliary | Exact | Deterministic | Time |
| Jeuring | 1994 | $O(n)$ | $O(n)$ auxiliary? | Exact | Deterministic | Time |
| Gusfield | 1997 | $O(n)$ | $O(n)$ auxiliary | Exact | Deterministic | Time |
Time Complexity graph
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Space Complexity graph
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Pareto Decades graph
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