Reduction from CNF-SAT to constant sensitivity (4/3)-approximate incremental diameter

FROM: CNF-SAT TO: constant sensitivity (4/3)-approximate incremental diameter

Implications

assume: SETH
then: let $\epsilon > {0}$, $t \in \mathbb{N}$, there exists no algorithm for target with preprocessing time $O(n^t)$, update time $u(n)$ and query time $q(n)$, such that $max\{u(n),q(n)\}=O(n^{1-\epsilon})$ with constant sensitivity $K(\epsilon,t)$

Year

2017

Reference

Henzinger, M., Lincoln, A., Neumann, S., & Williams, V. V. (2017). Conditional hardness for sensitivity problems. arXiv preprint arXiv:1703.01638.

https://arxiv.org/pdf/1703.01638.pdf