Researchers look for algorithms which are fast just “on average”. This matter is sensitive to the choice of a particular NP-complete problem and a probability ...
It is shown below that the Tiling problem with uniform distribution of instances has no polynomial "on average" algorithm, unless every NP-problem with ...
Researchers look for algorithms which are fast just “on average”. This matter is sensitive to the choice of a particular NP-complete problem and a probability ...
Nov 26, 2010 · If there exist some NP language L that's hard on the average on some distribution μ, then by applying the standard reduction f from L to ...
This forum provides an overview of the recent research on average complexity, and shows the subtleties in formulating a coherent framework for studying average- ...
We explain and advance Levin's theory of average case completeness. In particular, we exhibit examples of problems complete in the average case.
Average- and worst-case complexity - Cryptography Stack Exchange
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May 13, 2023 · If we call an instance of a certain problem has average-case hardness, and then it's equal to worst-case hardness, isn't it somehow ironical?
Jan 8, 2022 · Some NP-hard problems, like the one above, are very easy on average. But others like SAT, graph coloring, etc. are mysteries to us, where we ...
Average Case Complete Problems. ∗. Leonid A. Levin†. Boston University ... An instance (u, v, s) of the Tiling Problem, has a subset u of tile types ...
Apr 26, 2019 · Is there a possibility that P is not equal to NP but on the average case an NP-complete problem can be solved in a polynomial time?