Title
Average-case intractability vs. worst-case intractability
Abstract
We show that not all sets in NP (or other levels of the polynomial-time hierarchy) have efficient average-case algorithms unless the Arthur-Merlin classes MA and AM can be derandomized to NP and various subclasses of P/poly collapse to P. Furthermore, other complexity classes like P(PP) and PSPACE are shown to be intractable on average unless they are easy in the worst case.
Year
DOI
Venue
2004
10.1016/j.ic.2003.05.002
Information & Computation
Keywords
Field
DocType
various subclasses,polynomial-time hierarchy,arthur-merlin class,worst-case intractability,poly collapse,worst case,complexity class,efficient average-case algorithm
Complexity class,Discrete mathematics,Combinatorics,NP-complete,PSPACE,Hierarchy,Mathematics,Computational complexity theory
Journal
Volume
Issue
ISSN
190
1
Information and Computation
ISBN
Citations 
PageRank 
3-540-64827-5
3
0.39
References 
Authors
54
2
Name
Order
Citations
PageRank
Johannes Köbler158046.51
Rainer Schuler230.39