Reduction from Negative Triangle to Price Query
Revision as of 10:55, 15 February 2023 by Admin (talk | contribs) (Created page with "FROM: Negative Triangle TO: Price Query == Description == == Implications == if: to-time: $O(n^{2} / f(n))$ to answer any subsequent price query after $n$-node edge-weighted graph is preprocessed in $O(^k)$ time for some constant $k > {0}$<br/>then: from-time: $O(n^{3} / f(n^{1/({2}k)})$ == Year == 2018 == Reference == V. V. Williams, R. R. Williams, Subcubic Equivalences Between Path, Matrix, and Triangle Problems. 2018. https://dl.acm.org/doi/pdf/...")
FROM: Negative Triangle TO: Price Query
Description
Implications
if: to-time: $O(n^{2} / f(n))$ to answer any subsequent price query after $n$-node edge-weighted graph is preprocessed in $O(^k)$ time for some constant $k > {0}$
then: from-time: $O(n^{3} / f(n^{1/({2}k)})$
Year
2018
Reference
V. V. Williams, R. R. Williams, Subcubic Equivalences Between Path, Matrix, and Triangle Problems. 2018.
https://dl.acm.org/doi/pdf/10.1145/3186893, Theorem 1.5