Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Tuesday, February 28, 2006, 12:15 pm

Duration: This information is not available in the database

Location: This information is not available in the database

Speaker: Eva Schuberth

Approximate Sorting

This talk is about the question of how many comparisons are necessary and sufficient in order to approximately rank n items. We show that any comparison based, randomized algorithm to approximate any given ranking of n items within expected Spearman's footrule distance n²/r needs at least n(min{log r, log n} -6) comparisons in the worst case. This bound is tight up to a constant factor since there exists a deterministic algorithm that shows that 6n log(r) comparisons are always sufficient.

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