Class Description

MaxNP: Maximization NP

Has the same relation to NP as MaxSNP does to SNP.

Contains MaxPB.

The closure of MaxNP under PTAS reduction is APX [KMS+99], [CT94].

Linked From

APX: Approximable

The subclass of NPO problems that admit constant-factor approximation algorithms. (I.e., there is a polynomial-time algorithm that is guaranteed to find a solution within a constant factor of the optimum cost.)

Contains PTAS.

Equals the closure of MaxSNP and of MaxNP under PTAS reduction [KMS+99], [CT94].

Defined in [ACG+99].

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MaxPB: MaxNP Polynomially Bounded

The subclass of MaxNP problems for which the cost function is guaranteed always to be bounded by a polynomial.

MinPB can be defined similarly.

Defined in [KT94].

The closure of MaxPB under PTAS reductions equals NPOPB [CKS+99].

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