Reduction from 3SUM to Local Alignment

FROM: 3SUM TO: Local Alignment

Implications

if: to-time $N^{2-\delta-\epsilon} for two strings of size $n$ and alphabet of size $n^{1-\delta}$ for some $\espilon > {0}$,$\delta \in ({0},{1})$
then: from-time: $n^{2-\epsilon'}$ for some $\epsilon' > {0}$

Year

2014

Reference

Abboud, Amir, Virginia Vassilevska Williams, and Oren Weimann. "Consequences of faster alignment of sequences." In International Colloquium on Automata, Languages, and Programming, pp. 39-51. Springer, Berlin, Heidelberg, 2014.

https://link.springer.com/chapter/10.1007/978-3-662-43948-7_4