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  • 10:30, 15 February 2023 Admin talk contribs created page All Pairs Shortest Paths Hypothesis (APSP Hypothesis) (Created page with "== Target Problem == APSP == Description == No randomized algorithm can solve APSP in $O(n^{3-\epsilon})$ time for $\epsilon > 0$ on $n$ node graphs with edge weights in $\{-n^c,\ldots,n^c\}$ and no negative cycles for large enough $c$. == Implies the following Hypothesis == == Implied by the following Hypothesis == == Computation Model == Word-RAM on $\log(n)$ bit words == Proven? == No == Year == == References/Citation == http://people.csa...")