Average polynomial time complexity of some NP-complete problems
نویسندگان
چکیده
منابع مشابه
Memcomputing NP-complete problems in polynomial time using polynomial resources
Memcomputing is a novel non-Turing paradigm of computation that uses interacting memory cells (memprocessors for short) to store and process information on the same physical platform. It was recently proven mathematically that memcomputing machines have the same computational power of nondeterministic Turing machines. Therefore, they can solve NP-complete problems in polynomial time and, using ...
متن کاملOn the Average Case Complexity of Some P-complete Problems
We show that some classical P-complete problems can be solved efficiently in average NC. The probabilistic model we consider is the sample space of input descriptions of the problem with the underlying distribution being the uniform one. We present parallel algorithms that use a polynomial number of processors and have expected time upper bounded by (eIn4 + o(l))logn, asymptotically with high p...
متن کاملPolynomial solvability of $NP$-complete problems
A polynomial algorithm for solving the ”Hamiltonian circuit” problem is presented in the paper. Computational complexity of the algorithm is equal to O ( n log 2 n ) where n is the cardinality of the observed graph vertex set. Thus the polynomial solvability for NP -complete problems is proved.
متن کاملA review of "Memcomputing NP-complete problems in polynomial time using polynomial resources" (arXiv: 1411.4798)
The reviewed paper describes an analog device that empirically solves small instances of the NPcomplete Subset Sum Problem (SSP). The authors claim that this device can solve the SSP in polynomial time using polynomial space, in principle, and observe no exponential scaling in resource requirements. We point out that (a) the properties ascribed by the authors to their device are insufficient to...
متن کاملMemcomputing NP-complete problems in polynomial time using polynomial resources and collective states
Memcomputing is a novel non-Turing paradigm of computation that uses interacting memory cells (memprocessors for short) to store and process information on the same physical platform. It was recently proven mathematically that memcomputing machines have the same computational power of nondeterministic Turing machines. Therefore, they can solve NP-complete problems in polynomial time and, using ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 1986
ISSN: 0304-3975
DOI: 10.1016/0304-3975(86)90031-9