Multiple String Search (String Search)
Revision as of 10:20, 15 February 2023 by Admin (talk | contribs) (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...")
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
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Space Complexity graph
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Pareto Decades graph
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