It is considered as a subproblem of the most popular NP-complete problem
, the Travelling Salesman Problem (TSP), where the problem is to find the minimum weighted Hamiltonian cycle.
The selection of such disjoint or nondisjoint cover sets is proved to be NP-complete problem
As a well-known NP-complete problem
, SAT problem has been widely used in artificial intelligence and electronic design automation.
We will prove the theorem by reduction from the NP-Complete problem
The 0/1 knapsack problem has been proved to be an NP-complete problem
In this paper we propose a new KAP based on NP-complete problem
and hence having a property of provable security.
Multi-Constraint 0-1 Knapsack problem is a NP-complete problem
, which implies that the computation time it requires to solve this problem is simply infeasible to be implemented in any real systems, and certainly not feasible in a IEEE 802.16m bandwidth request-grant interval where the computation must take place within a few milliseconds.
In 1994  Adleman successfully solved the Direct Hamiltonian Path problem HPP (which is an NP-complete problem
) that opens a new area, called DNA computation.
Solving NP-complete problem
using ACO algorithm, In: Emerging Technologies, 2009.
There are two significant differences between that undecidable problem and our NP-complete problem
: we consider stationary policies and finite horizons.
That is, it can be shown that any NP-complete problem
can be transformed into each other NP-complete problem
by a polynomial-time procedure.
This class is potentially harder to solve than NP-complete problems
, because if any NP-complete problem
is intractable, then all NP-bard problems are intractable.