**Non-deterministic Polynomial Time Decidable Problem**

If X is NP-complete and a deterministic, polynomial-time algorithm exists that can solve all instances of X correctly (0% false-positives, 0% false-negatives), then any problem in NP can be solved in deterministic-polynomial-time (by reduction to X).... On Deterministic Polynomial-Time Equivalence of This paper is a corrected and revised version of the paper “Deterministic Polynomial-Time Equivalence of Comput-ing the CRT-RSA Secret Keys and Factoring” presented in “WCC 2009, International Workshop on Coding and Cryptography”, May 10-15, 2009, Ullensvang, Norway. There was a ?aw in the earlier version where we claimed the

**Simple deterministic approximation algorithms for counting**

a randomized algorithm that runs in expected polynomial-time on all inputs. The ultimate goal of this line of research has been, of course, to obtain an unconditional deterministic polynomial-time algorithm for primality testing.... The single most important non-deterministic complexity class is nondeterministic polynomial time, denoted by NP. Its relationship with the class P (deterministic polynomial time) is perhaps the most important unsolved problem in the theory of computing. This is the famous "P=NP" problem.

**Primality Testing In Polynomial Time From Randomized**

P and NP. P is the class of problems for which there is a deterministic polynomial time algorithm which computes a solution to the problem. NP is the class of problems where there is a nondeterministic algorithm which computes a solution to the problem, but no known deterministic polynomial time …... We design two deterministic polynomial time algorithms for variants of a problem introduced by Edmonds in 1967: determine the rank of a matrix M whose entries are homogeneous linear polynomials

**Log-Concave Polynomials Entropy and a Deterministic**

A DETERMINISTIC POLYNOMIAL-TIME APPROXIMATION ? DANIEL ity polynomial approximation scheme). More precisely, our algorithm takes time 1. Introduction.... our approach can be used to design a deterministic polynomial–time approx- imation algorithm for the problem with a relative approximation guarantee of ? ((log n/n ) d= 2 ? 1 ).

## Deterministic Polynomial Time Algorithms Pdf

### Computing the RSA Secret Key is Deterministic Polynomial

- Deterministic and randomized polynomial-time approximation
- Polynomial Time Algorithms and Extended Formulations for
- Deterministic Approximation Algorithms for Sphere
- A deterministic strongly polynomial algorithm for matrix

## Deterministic Polynomial Time Algorithms Pdf

### about n \ogp bits, a polynomial-time algorithm for finding irreducible polyno-mials in F[X] of degree n should run in time bounded by a polynomial in n and logp . There is no known deterministic polynomial-time algorithm for this problem. However, in many applications p is small, and so an algorithm that ran in time polynomial in n and p would be of value. We present one here. …

- A SUBLINEAR SPACE, POLYNOMIAL TIME ALGORITHM FOR DIRECTED s-t CONNECTIVITY GREG BARNESy, JONATHAN F. BUSSz, WALTER L. RUZZOx, AND BARUCH SCHIEBER{SIAM J. COMPUT. °c 1998 Society for Industrial and Applied Mathematics
- Simple proof that no polynomial-time algorithm can exist for B. NP-Hard and NP-Complete Problems 4 Nondeterministic algorithms – Deterministic algorithms Algorithms with uniquely de?ned results Predictable in terms of output for a certain input – Nondeterministic algorithms are allowed to contain operations whose outcomes are limited to a given set of possi-bilities instead of …
- polynomial time algorithms, abeautifulalgorithm for the deterministic UCwith general convex cost functionwas studied in [8] in which an O(T 3 )time, where T represents the number of time periods, algorithm is developed.
- Factoring polynomials 3 Theorem 1.1 puts stringent conditions on the roots of polynomials that can not be split in polynomial time by our algorithms under ERH.

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