Average case completeness

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منابع مشابه

Average Case Completeness

We explain and advance Levin’s theory of average case completeness. In particular, we exhibit examples of problems complete in the average case and prove a limitation on the power of deterministic reductions. ∗J. Computer and System Sciences 42:3, June 1991, 346–398. †Partially supported by NSF grant DCR 85-03275.

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Generic case completeness

In this note we introduce a notion of a generically (strongly generically) NP-complete problem and show that the randomized bounded version of the halting problem is strongly generically NP-complete.

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Average-case interactive communication

X and Y are random variables. Person P X knows X , Person P Y knows Y , and both know the joint probability distribution of the pair (X; Y). Using a predetermined protocol, they communicate over a binary, error-free, channel in order for P Y to learn X. P X may or may not learn Y. How many information bits must be transmitted (by both persons) on the average? At least H (XjY) bits must be trans...

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Average Case Complexity, Revisited

More than two decades elapsed since Levin set forth a theory of average-case complexity. In this survey we present the basic aspects of this theory as well as some of the main results regarding it. The current presentation deviates from our old “Notes on Levin’s Theory of Average-Case Complexity” (ECCC, TR97-058, 1997) in several aspects.

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Average-Case "messy" Broadcasting

Current studies of “messy” broadcasting have so far concentrated on finding worst-case times. However, such worst-case scenarios are extremely unlikely to occur in general. Hence, determining average-case times or tight upper bounds for completing “messy” broadcasting in various network topologies is both necessary and meaningful in practice. In this paper, we focus on seeking the average-case ...

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ژورنال

عنوان ژورنال: Journal of Computer and System Sciences

سال: 1991

ISSN: 0022-0000

DOI: 10.1016/0022-0000(91)90007-r