The result is the first proof of concept of a machine able to solve an NP-complete problem in polynomial time using collective states. The experimental realization of the memcomputing machine ...

In computational complexity theory, P and NP are two classes of problems. P is the class of decision problems that a deterministic Turing machine can solve in polynomial time. In useful terms… ...

All or Nothing The knapsack problem belongs to a class of “NP” problems, which stands for “nondeterministic polynomial time.” ...

The course will introduce the underlying computational concepts (polynomial-time computation and NP-completeness); introduce canonical problem models including graph problems and formula ...

Precedence constraints between jobs that have to be respected in every feasible schedule generally increase the computational complexity of a scheduling problem. Occasionally, their introduction may ...

The version with partially observed states is shown to be PSPACE-complete, and thus even less likely to be solved in polynomial time than the NP-complete problems; in fact, we show that, most likely, ...