Pairing Heaps are Sub - optimalbyMichael
نویسنده
چکیده
Pairing heaps were introduced as a self-adjusting alternative to Fibonacci heaps. They provably enjoy log n amortized costs for the standard heap operations. Although it has not been veri ed that pairing heaps perform the decrease key operation in constant amortized time, this has been conjectured and extensive experimental evidence supports this conjecture. Moreover, pairing heaps have been observed to be superior to Fibonacci heaps in practice. However, as demonstrated in this paper, pairing heaps do not accommodate decrease key operations in constant amortized time.
منابع مشابه
Improved Upper Bounds for Pairing Heaps
Pairing heaps are shown to have constant amortized time Insert and Meld, thus showing that pairing heaps have the same amortized runtimes as Fibonacci heaps for all operations but Decrease-Key.
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متن کاملPairing heaps with O(log log n) decrease cost
We give a variation of the pairing heaps for which the time bounds for all the operations match the lower bound proved by Fredman for a family of similar self-adjusting heaps. Namely, our heap structure requires O(1) for insert and findmin, O(log n) for delete-min, and O(log logn) for decreasekey and meld (all the bounds are in the amortized sense except for find-min).
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Improving the structure and analysis in [1], we give a variation of the pairing heaps that has amortized zero cost per meld (compared to an O(log log n) in [1]) and the same amortized bounds for all other operations. More precisely, the new pairing heap requires: no cost per meld, O(1) per find-min and insert, O(log n) per delete-min, and O(log log n) per decrease-key. These bounds are the best...
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تاریخ انتشار 1997