Reduction from k-SAT to Subset Sum
Revision as of 11:19, 15 February 2023 by Admin (talk | contribs) (Created page with "FROM: k-SAT TO: Subset Sum == Description == == Implications == assume: SETH<br/>then: for any $\epsilon > {0}$ there exists a $\delta > {0}$ such that Subset Sum is not in time $O(T^{1-\epsilon}{2}^{\delta n})$, and $k$-Sum is not in time $O(T^{1-\epsilon}n^{\delta k})$ == Year == 2022 == Reference == Abboud, A., Bringmann, K., Hermelin, D., & Shabtay, D. (2022). SETH-based lower bounds for subset sum and bicriteria path. ACM Transactions on Algorit...")
FROM: k-SAT TO: Subset Sum
Description
Implications
assume: SETH
then: for any $\epsilon > {0}$ there exists a $\delta > {0}$ such that Subset Sum is not in time $O(T^{1-\epsilon}{2}^{\delta n})$, and $k$-Sum is not in time $O(T^{1-\epsilon}n^{\delta k})$
Year
2022
Reference
Abboud, A., Bringmann, K., Hermelin, D., & Shabtay, D. (2022). SETH-based lower bounds for subset sum and bicriteria path. ACM Transactions on Algorithms (TALG), 18(1), 1-22.
https://dl-acm-org.ezproxy.canberra.edu.au/doi/full/10.1145/3450524