scholarly journals Average-case analysis of algorithms using Kolmogorov complexity

2000 ◽  
Vol 15 (5) ◽  
pp. 402-408 ◽  
Author(s):  
Tao Jiang ◽  
Ming Li ◽  
Paul M. B. Vitányi
Keyword(s):  
Kolmogorov Complexity ◽  
Analysis Of Algorithms ◽  
Case Analysis ◽  
Average Case Analysis ◽  
Average Case

scholarly journals A Note on Alternating Sums

10.37236/1265 ◽  
1995 ◽  
Vol 3 (2) ◽  
Author(s):  
Peter Kirschenhofer
Keyword(s):  
Generating Functions ◽  
Analysis Of Algorithms ◽  
Case Analysis ◽  
Contour Integration ◽  
Asymptotic Estimates ◽  
Average Case Analysis ◽  
Average Case ◽  
Complex Contour ◽  
Alternating Sums

We present some results on a certain type of alternating sums which frequently arise in connection with the average-case analysis of algorithms and data. Whereas the so-called Rice's method for treating such sums uses complex contour integration we perform manipulations of generating functions in order to get explicit results from which asymptotic estimates follow immediately.

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