We then show that, under a randomized reduction, there is a complete problem ( D , ρ ) for distributional NP problems with respect to ranking such that ρ ( D ) NP and if ρ ( D ) is solvable in time T on average over a uniform distribution, then D is solvable in time T ( O...
In most cases of adrenal fatigue, the problems generally originate in a communication breakdown that occurs within the hypothalamic-pituitary-adrenal axis, otherwise known as the HPA axis.[2]The HPA axis describes the interactive feedback loop that takes place between these three endocrine glands. T...
The best-known algorithms for NP-complete problems are essentially searching for a solution from all possible answers. The Traveling Salesman Problem on a graph of a few hundred points would take years to run on a supercomputer. Such algorithms are inefficient, meaning there are no mathematical sh...
There exists a digraph H such that the problem, given a digraph D, to decide whether H is directed topological minor of D, is NP-complete. Proof Since the problem is clearly solvable in non-deterministic polynomial time, it remains to show that the problem is NP-hard. We reduce from the...
11There is one important caveat: in Sp2, we currently only know how to learn self-reducible functions, such as the characteristic functions of NP- complete problems. For if the circuits from the two competing provers disagree with each other, then we need to know which one to trust. 2. ...
We may conclude: Theorem 1 PushPush and Push-1 are both NP-hard in 2D. 3.11 Main Theorem We leave it open whether Theorem 1 can be strengthened in either direction: either by proving either problem is in NP, in which case it is NP-complete, or by showing that either is PSPACE-...
We transform the diagnostic problem into a propositional satisfiability (SAT) problem solvable by off-the-shelf SAT solvers. Log data are preprocessed into ... GJ Minty - 《Journal of Combinatorial Theory》 被引量: 14发表: 1967年 An NP-Complete Problem in Grid Coloring A c-coloring of G(n...
(K3,K1,5)-freegraphstheproblemisNP-complete,whileforanyotherforestonatmost6verticesitispolynomiallysolvable.Thelatterfactwasprovedin[3,4]forallsuchforestsexcept2P3(by2P3wemeanagraphon6verticesconsistingoftwodisjointpathsoflength2),whilethepolynomialsolvabilityofthek-coloringproblemfor(K3,2P3)-freegraphs...
The best-known algorithms for NP-complete problems are essentially searching for a solution from all possible answers. The Traveling Salesman Problem on a graph of a few hundred points would take years to run on a supercomputer. Such algorithms ...
It has been proved by mathematicians that finding a maximum independent set in some certain kinds of graphs is solvable in polynomial time (for example, line graphs, bipartite graphs, circle graphs, circular arc graphs and claw free graphs.) But it is well-known that it is an NP-complete ...