science (particularly algorithmics), a polynomial-time approximation scheme (PTAS) is a type of approximation algorithm for optimization problems (most...

A fully polynomial-time approximation scheme (FPTAS) is an algorithm for finding approximate solutions to function problems, especially optimization problems...

Ulrich; Speranza, Maria Grazia (2003-03-01). "An efficient fully polynomial approximation scheme for the Subset-Sum Problem". Journal of Computer and System...

be approximated to within any approximation ratio c < 1 in polynomial time; similar polynomial-time approximation schemes exist in any family of graphs...

to: Polynomial-time approximation scheme, an approximation algorithm in computer science Pesetas, Spanish currency PTAS reduction, an approximation-preserving...

pseudo-polynomial time algorithm using dynamic programming. There is a fully polynomial-time approximation scheme, which uses the pseudo-polynomial time algorithm...

(QPTAS) is a variant of a polynomial-time approximation scheme whose running time is quasi-polynomial rather than polynomial. Problems with a QPTAS include...

the tree with cost equal to their distance) there exists a polynomial time approximation scheme devised by Arora (1998). Lozovanu, D.; Zelikovsky, A. (1993)...

computation when η is extremely small), is known as a Fully Polynomial-Time Approximation Scheme (FPTAS). The dependence on 1/η rather than log(1/η) is a...

no polynomial-time approximation scheme (PTAS), arbitrarily close to the optimal solution, for it, unless P = NP. Thus, every known polynomial-time approximation...

problems that allow polynomial-time approximation algorithms with approximation ratio bounded by a constant (or constant-factor approximation algorithms for...

does not even have a pseudo-polynomial time algorithm. It also does not have a fully-polynomial time approximation scheme. An example is the 3-partition...

Subdivisions Approximate Polygonal Subdivisions: A Simple Polynomial-Time Approximation Scheme for Geometric TSP, k-MST, and Related Problems", SIAM Journal...

close to the optimum (such a family of approximation algorithms is called a polynomial-time approximation scheme or PTAS). Others are impossible to approximate...

Alan M. Frieze and Ravindran Kannan provided a randomized polynomial time approximation scheme for the problem, providing a sharp contrast between the capabilities...

does not even have a pseudo-polynomial time algorithm. It also does not have a fully-polynomial time approximation scheme. An example is the 3-partition...

Monte Carlo algorithm Numerical analysis Online algorithm Polynomial time approximation scheme Problem size Pseudorandom number generator Quantum algorithm...

Klaus; Solis-Oba, Roberto (2003). "An asymptotic fully polynomial time approximation scheme for bin covering". Theoretical Computer Science. 306 (1–3):...

reduction from 3-partition. This means that they have no fully polynomial-time approximation scheme (FPTAS) unless P=NP. Even when m=2, the problems do not have...

does not even have a pseudo-polynomial time algorithm. It also does not have a fully-polynomial time approximation scheme. An example is the 3-partition...

the tournaments was proven to have polynomial time approximation schemes (PTAS). One can achieve an approximation ratio of 1/3 (in expectation) by ordering...

compute, it cannot have a fully polynomial-time approximation scheme, unless P = NP. If too accurate an approximation were available, rounding its value...

O{\left(n(\log n)^{O(c{\sqrt {d}})^{d-1}}\right)}} time; this is called a polynomial-time approximation scheme (PTAS). Sanjeev Arora and Joseph S. B. Mitchell...

parameterized approximation algorithm is a type of algorithm that aims to find approximate solutions to NP-hard optimization problems in polynomial time in the...

cuts must be guillotine cuts (edge-to-edge cuts). Several polynomial-time approximation schemes using sophisticated guillotine cuts. In this setting, the...

the permanent of a matrix with entries from {0,1} has a polynomial-time approximation scheme. In the proof, Jerrum and Sinclair studied the Markov chain...

guaranteed approximation ratio of the optimal solution. More precisely, the problem is APX-complete, and thus does not admit a polynomial-time approximation scheme...

partition problem. Sahni presents an exponential-time algorithm and a polynomial-time approximation scheme for solving both these NP-hard problems on identical...

proof and also present both a constant factor approximation algorithm and polynomial-time approximation scheme to find the clusters in this setting. Ailon...

the optimum. Baker's technique can be used to provide a polynomial-time approximation scheme for the problem on planar graphs. The related clique edge...