There is a probabilistic polynomial-time
algorithm TrapGen(q,n) that outputs a pair ([mathematical expression not reproducible]) such that A is statistically close to a uniform matrix in [mathematical expression not reproducible] and S is a basis for [mathematical expression not reproducible] satisfying
Approximation Schemes for Shortest Path with Alternatives.
We show that four natural variations of this intervention-planning problem are hard-to-approximate: no polynomial-time
algorithms can exist without substantial compromise in the guaranteed quality of the solution.
If there is an algorithm that can solve 3-SAT in polynomial-time
, then it would also be able to solve SUBSET-SUM in polynomial-time
, contradicting Feinstein's lower-bound claim of [THETA]([square root of [2.
Let f be a polynomial-time
transformation from a minimization optimization problem [PI] to a minimization optimization problem [PI], We say that f is an L-reduction if there are constants [alpha], [beta] > 0 such that for each instance I of [PI]:
In this paper, we design dynamic programming for the TSPP-PC, which is the first polynomial-time
exact algorithm when the number of precedence constraints is a constant.
We first notice that this reduction is clearly polynomial-time
Readers should have taken an introductory number theory course (though he reviews the necessary basics), be adept with calculus and linear algebra, be computer literate to the level of pseudocode and protocols, and be familiar with the notions of polynomial time and the non-deterministic polynomial-time
class N P.
They proposed a polynomial-time
dynamic programming algorithm for the problem with a given number of machines.
Generation of polynomial-time
algorithms for some optimization problems on tree-decomposable graphs.
Correctness: A probabilistic polynomial-time
joint Computation (P, V, M) has correctness if for any i [member of] [n] and any ([W.
Then the Quadratic Residue Assumption  states that there is no probabilistic polynomial-time
algorithm for computing square roots with respect to modulus N.