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Journal of Computer Science and Technology

, Volume 15, Issue 5, pp 402–408 | Cite as

Average-case analysis of algorithms using Kolmogorov complexity

  • Jiang Tao Email author
  • Li Ming 
  • Paul M. B. Vitányi
Article

Abstract

Analyzing the average-case complexity of algorithms is a very practical but very difficult problem in computer science. In the past few years, we have demonstrated that Kolmogorov complexity is an important tool for analyzing the average-case complexity of algorithms. We have developed the incompressibility method. In this paper, several simple examples are used to further demonstrate the power and simplicity of such method. We prove bounds on the average-case number of stacks (queues) required for sorting sequential or parallel Queuesort or Stacksort.

Keywords

Kolmogorov complexity algorithm average-case analysis sorting 

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Copyright information

© Science Press, Beijing China and Allerton Press Inc. 2000

Authors and Affiliations

  1. 1.Department of Computing ScienceUniversity of CaliforniaRiversideUSA
  2. 2.Department of Computer ScienceUniversity of CaliforniaSanta BarbaraUSA
  3. 3.CWI and University of AmsterdamAmsterdamThe Netherlands

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