Min-Weight k-Clique Hypothesis
Revision as of 11:30, 15 February 2023 by Admin (talk | contribs) (Created page with "== Target Problem == Min-Weight $k$-Clique == Description == The Min-Weight $k$-Clique problem on $n$ node graphs with edge weights in $\{-n^{100k},\ldots, n^{100k}}$ requires (randomized) $n^{k-o(1)}$ time. == Implies the following Hypothesis == Exact k-Clique Hypothesis, OVH == Implied by the following Hypothesis == == Computation Model == Word-Ram on $\log(n)$ bit words == Proven...")
Target Problem
Description
The Min-Weight $k$-Clique problem on $n$ node graphs with edge weights in $\{-n^{100k},\ldots, n^{100k}}$ requires (randomized) $n^{k-o(1)}$ time.
Implies the following Hypothesis
Exact k-Clique Hypothesis, OVH
Implied by the following Hypothesis
Computation Model
Word-Ram on $\log(n)$ bit words
Proven?
No
Year
References/Citation
http://people.csail.mit.edu/virgi/eccentri.pdf Hypothesis 7