no code implementations • 23 Sep 2019 • Moses Ganardi, Danny Hucke, Markus Lohrey, Tatiana Starikovskaya
In particular, we show that for any regular language, there is a deterministic sliding window property tester that uses logarithmic space and a randomized sliding window property tester with two-sided error that uses constant space.
1 code implementation • 4 Aug 2015 • Raphaël Clifford, Allyx Fontaine, Ely Porat, Benjamin Sach, Tatiana Starikovskaya
Our main results are as follows: 1) Our first result is a deterministic $O(n k^2\log{k} / m+n \text{polylog} m)$ time offline algorithm for k-mismatch on a text of length n. This is a factor of k improvement over the fastest previous result of this form from SODA 2000 by Amihood Amir et al. 2) We then give a randomised and online algorithm which runs in the same time complexity but requires only $O(k^2\text{polylog} {m})$ space in total.
Data Structures and Algorithms
