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Average-Case Computational Complexity Theory

Jie Wanggif
UNC Greensboro gif

Abstract:

NP-complete problems are generally thought of as being computationally intractable. However, NP-completeness is a worst-case concept. Indeed, some NP-complete problems are ``easy on average,'' though some may not be. How is one to know whether an NP-complete problem is ``difficult on average''? The theory of average-case computational complexity, initiated by Levin about ten years ago, is devoted to studying this problem. This paper provides an overview of the main ideas and results in this important new subarea of complexity theory.



Jie Wang
Tue Feb 4 13:48:58 EST 1997