Reduction from CNF-SAT to Approximate Betweenness Centrality

FROM: CNF-SAT TO: Approximate Betweenness Centrality

Description

$\alpha$-approximation for any finite $\alpha$ (possibly depending on $m$)

Implications

if: to-time: $O(m^{2-\epsilon})$ for some $\epsilon > {0}$
then: from-time: $O*({2}^{({1}-\delta)n})$ for some $\delta > {0}$

Year

2015

Reference

Amir Abboud, Fabrizio Grandoni, and Virginia Vassilevska Williams. Subcubic equivalences between graph centrality problems, APSP and diameter. In Proceedings of the Twenty-Sixth Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2015, San Diego, CA, USA, January 4-6, 2015, pages 1681–1697, 2015.

https://epubs.siam.org/doi/10.1137/1.9781611973730.112, Corollary 4.2