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Coping with Erroneous Information While Sorting
September 1991 (vol. 40 no. 9)
pp. 1081-1084

The authors study the problem of sorting n distinct elements in ascending sequence according to a total order, using comparison queries which receive 'yes' or 'no' answers, but of which as many as e may be erroneous. In a half-lie version, all 'yes' answers are guaranteed to be correct and the errors are confined to 'no' answers. It is shown that the comparison query complexity of the sorting problem for this case is Omega (n log n+e), and an asymptotically optimal algorithm is demonstrated. In a full-lie version, both 'yes' and 'no' answers can be false. It is shown that the comparison query complexity of the sorting problem for this case is Omega (n log n+en).

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Index Terms:
erroneous information; sorting; comparison queries; complexity; computational complexity; sorting.
K.B. Lakshmanan, B. Ravikumar, K. Ganesan, "Coping with Erroneous Information While Sorting," IEEE Transactions on Computers, vol. 40, no. 9, pp. 1081-1084, Sept. 1991, doi:10.1109/12.83656
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