Optimization, approximation, and complexity classes

1.0kCitations
Citations of this article
72Readers
Mendeley users who have this article in their library.

Abstract

We define a natural variant of NP, MAX NP, and also a subclass called MAX SNP. These are classes of optimization problems, and in fact contain several natural, well-studied ones. We show that problems in these classes can be approximated with some bounded error. Furthermore, we show that a number of common optimization problems are complete for MAX SNP under a kind of careful transformation (called L-reduction) that preserves approximability. It follows that such a complete problem has a polynomial-time approximation scheme iff the whole class does. These results may help explain the lack of progress on the approximability of a host of optimization problems. © 1991.

Cite

CITATION STYLE

APA

Papadimitriou, C. H., & Yannakakis, M. (1991). Optimization, approximation, and complexity classes. Journal of Computer and System Sciences, 43(3), 425–440. https://doi.org/10.1016/0022-0000(91)90023-X

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free