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...

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

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...

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...

have a fully polynomial-time approximation scheme with randomization (FPRAS), even on graphs with maximal degree six; however it does have an fully polynomial-time...

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...

a fully polynomial-time approximation scheme (FPRAS), even assuming that each variable occurs in at most 6 clauses, but that a fully polynomial-time approximation...

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...

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

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

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

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...

for better solutions. Some variations of this idea are fully polynomial-time approximation schemes for the subset-sum problem, and hence for the partition...

be solved in polynomial time through linear programming, or through (typically much faster) fully polynomial time approximation schemes. Multicommodity...

assumption, this rules out the possibility of a fully polynomial time randomised approximation scheme (FPRAS). There is no FPRAS for computing P ( G ...

have a fully polynomial-time randomized approximation scheme, or "FPRAS," which, informally, will produce with high probability an approximation to an...

the Leontief market exchange problem does not have a fully polynomial-time approximation scheme, unless PPAD ⊆ P. On the other hand, there are algorithms...

algorithm is a fully polynomial-time randomized approximation scheme (fpras). Several computational problems are associated with the Tutte polynomial. The most...

the BGV and BFV schemes. The rescaling operation makes CKKS scheme the most efficient method for evaluating polynomial approximations, and is the preferred...

is thought to be hard to solve efficiently, even with approximation factors that are polynomial in n {\displaystyle n} , and even with a quantum computer...

has a pseudo-polynomial time algorithm based on dynamic programming. For n = 2, the problem has a fully polynomial-time approximation scheme. There are...

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

Klaus; Solis-Oba, Roberto (2002-11-21). "An Asymptotic Fully Polynomial Time Approximation Scheme for Bin Covering". Algorithms and Computation. Lecture...

its biadjacency matrix. However, there exists a fully polynomial time randomized approximation scheme for counting the number of bipartite matchings....

sparse game is PPAD-hard, and that there does not exist a fully polynomial-time approximation scheme unless PPAD is in P. In symmetric games all players are...

polylogarithmic polynomial polynomial-time approximation scheme (PTAS) polynomial hierarchy polynomial time polynomial-time Church–Turing thesis polynomial-time reduction...

Programming Formulation Guarantee the Existence of a Fully Polynomial Time Approximation Scheme (FPTAS)?". INFORMS Journal on Computing. 12 (1): 57–74...

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