Average-Case Complexity of Shellsort
ICAL '99 Proceedings of the 26th International Colloquium on Automata, Languages and Programming
SOFSEM '00 Proceedings of the 27th Conference on Current Trends in Theory and Practice of Informatics
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The authors give improved lower bounds for Shellsort based on a new and relatively simple proof idea. The lower bounds obtained are both stronger and more general than the previously known bounds. In particular, they hold for nonmonotone increment sequences and adaptive Shellsort algorithms, as well as for some recently proposed variations of Shellsort.