Reduction from BMM to Independent Set Queries
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FROM: BMM TO: Independent Set Queries
Description
Implications
if: to-time: $O(n^{2} / \log^c n)$ to answer all subsequent batches of $\log n$ independent set queries from a graph that takes $O(n^k)$ time to preprocess for some $c,k > {0}$
then: from-time: $O(n^{3} / \log^{c+1} n)$
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 6.5