Upper and lower bounds for the average-case complexity of path-search

Networks ◽  
1999 ◽  
Vol 33 (4) ◽  
pp. 249-259 ◽  
Author(s):  
Nicholas Pippenger
Keyword(s):  
Lower Bounds ◽  
Upper And Lower Bounds ◽  
Average Case ◽  
Case Complexity ◽  
Average Case Complexity ◽  
Path Search

ON THE AVERAGE CASE CIRCUIT DELAY OF DISJUNCTION

1995 ◽  
Vol 05 (02) ◽  
pp. 275-280 ◽  
Author(s):  
BEATE BOLLIG ◽  
MARTIN HÜHNE ◽  
STEFAN PÖLT ◽  
PETR SAVICKÝ
Keyword(s):  
Lower Bounds ◽  
Wide Class ◽  
Time Complexity ◽  
Upper And Lower Bounds ◽  
Average Case ◽  
Asymptotically Optimal ◽  
Circuit Delay ◽  
Suitable Measure

For circuits the expected delay is a suitable measure for the average case time complexity. In this paper, new upper and lower bounds on the expected delay of circuits for disjunction and conjunction are derived. The circuits presented yield asymptotically optimal expected delay for a wide class of distributions on the inputs even when the parameters of the distribution are not known in advance.

On the average-case complexity of underdetermined functions

2018 ◽  
Vol 28 (4) ◽  
pp. 201-221
Author(s):  
Aleksandr V. Chashkin
Keyword(s):  
Boolean Functions ◽  
Correct Order ◽  
Average Case ◽  
Case Complexity ◽  
Average Case Complexity ◽  
Straight Line ◽  
Straight Line Programs

Abstract The average-case complexity of computation of underdetermined functions by straight-line programs with conditional stop over the basis of all at most two-place Boolean functions is considered. Correct order estimates of the average-case complexity of functions with maximum average-case complexity among all underdetermined functions are derived depending on the degree of their determinacy, the size of their domain, and the size of their support.

The Average-Case Complexity of Determining the Majority

1997 ◽  
Vol 26 (1) ◽  
pp. 1-14 ◽  
Author(s):  
Laurent Alonso ◽  
Edward M. Reingold ◽  
René Schott
Keyword(s):  
Average Case ◽  
Case Complexity ◽  
Average Case Complexity
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