How Robust are Average Complexity Measures? A Statistical Case Study

by Suman Kumar Sourabh and Soubhik Chakraborty.

Abstract: Average case analysis forms an interesting and intriguing part of algorithm theory since it explains why some algorithms with bad worst-case complexity can be better on the average. Famous examples are the quicksort, simplex method and the wide variety of computer graphics and computational geometry algorithms. Here we make a statistical case study on the robustness of average complexity measures, which are derived assuming uniform distribution, for non-uniform inputs (both discrete and continuous).

Key Words: algorithm, robustness, average case complexity, worst-case complexity, replacement sort

Suman Kumar Sourabh,
Soubhik Chakraborty,

Editor: R. G. Graf,

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