Multiple String Search: Difference between revisions
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(Created page with "{{DISPLAYTITLE:Multiple String Search (String Search)}} == Description == Multiple string search algorithms try to find a place where one or several strings (also called patterns) are found within a larger string or text. == Related Problems == Related: Single String Search == Parameters == <pre>$m$: longest pattern length $n$: length of searchable text $s$: size of the alphabet $k$: number of patterns to search for $z$: number of matches</pre> == Table of A...") |
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== Parameters == | == Parameters == | ||
$m$: longest pattern length | |||
$n$: length of searchable text | $n$: length of searchable text | ||
$s$: size of the alphabet | $s$: size of the alphabet | ||
$k$: number of patterns to search for | $k$: number of patterns to search for | ||
$z$: number of matches | |||
$z$: number of matches | |||
== Table of Algorithms == | == Table of Algorithms == | ||
| Line 32: | Line 36: | ||
|} | |} | ||
== Time Complexity | == Time Complexity Graph == | ||
[[File:String Search - Multiple String Search - Time.png|1000px]] | [[File:String Search - Multiple String Search - Time.png|1000px]] | ||
== References/Citation == | == References/Citation == | ||
https://cr.yp.to/bib/1975/aho.pdf | https://cr.yp.to/bib/1975/aho.pdf | ||
Latest revision as of 09:07, 28 April 2023
Description
Multiple string search algorithms try to find a place where one or several strings (also called patterns) are found within a larger string or text.
Related Problems
Related: Single String Search
Parameters
$m$: longest pattern length
$n$: length of searchable text
$s$: size of the alphabet
$k$: number of patterns to search for
$z$: number of matches
Table of Algorithms
| Name | Year | Time | Space | Approximation Factor | Model | Reference |
|---|---|---|---|---|---|---|
| Commentz-Walter Algorithm | 1979 | $O(mn)$ | $O(km)$ | Exact | Deterministic | Time |
| Aho–Corasick (AC) Algorithm | 1975 | $O(n + m + z)$ | $O(km)$ | Exact | Deterministic | Time |
| Wu and Manber, Fuzzy String Matching | 1992 | $O(nk \lceil m/w \rceil)$ | $O(ms + k \lceil m/w \rceil)$ | Levensthein Distance = k | Deterministic | Time & Space |
Time Complexity Graph
