Frequent Words with Mismatches Problem (Frequent Words with Mismatches Problem)
Jump to navigation
Jump to search
Description
Given two strings, determine the most frequent substring with at most $k$ mismatches, where mismatches are not counted towards the length of the substring.
Parameters
n: length of string
k: length of words
d: number of allowed mismatches
sigma: size of alphabet
Table of Algorithms
| Name | Year | Time | Space | Approximation Factor | Model | Reference |
|---|---|---|---|---|---|---|
| Naive solution | 1940 | $O(n*f_{bin}(sigma-{1}, k, d)$) where f_{bin}(x, y, z) = sum_{i=0}^z C(y, i)*x^i | $O(max(n*f_{bin}(sigma-{1}, k, d)$, sigma^k)) auxiliary where f_{bin}(x, y, z) = sum_{i=0}^z C(y, i)*x^i | Exact | Deterministic |
Time Complexity Graph
Space Complexity Graph
Pareto Frontier Improvements Graph
