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- W200332012 abstract "We study sorting and searching using a comparison oracle that ``lies.'''' First, we prove that an algorithm of Rivest, Meyer, Kleitman, Winklmann and Spencer for searching in an n-element list using a comparison oracle that lies E times requires at most O(log n + E) comparisons, improving the best previously known bound of log n + E log log n + O(E log E). A lower bound, easily obtained from their results, establishes that the number of comparisons used by their algorithm is within a constant factor of optimal. We apply their search algorithm to obtain an algorithm for sorting an n element list with E lies that requires at most O(n log n + En) comparisons, improving on the algorithm of Lakshmanan, Ravikumar and Ganesan, which required at most O(n log n + En + E^2) comparisons. A lower bound proved by Lakshmanan, Ravikumar and Ganesan establishes that the number of comparisons used by our sorting algorithm is optimal to within a constant factor." @default.
- W200332012 created "2016-06-24" @default.
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- W200332012 date "1992-11-01" @default.
- W200332012 modified "2023-09-23" @default.
- W200332012 title "SORTING AND SEARCHING WITH A FAULTY COMPARISON ORACLE" @default.
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