Pushing the Limits in Sequential Sorting
نویسندگان
چکیده
With re nements to the WEAK-HEAPSORT algorithm we establish the general and practical relevant sequential sorting algorithm RELAXED-WEAK-HEAPSORT executing exactly ndlog ne 2 ne + 1 n log n 0:9n comparisons on any given input. The number of transpositions is bounded by n plus the number of comparisons. Experiments show that RELAXED-WEAK-HEAPSORT only requires O(n) extra bits. Even if this space is not available, with QUICK-WEAK-HEAPSORT we propose an e cient QUICKSORT variant with n log n+0:2n+ o(n) comparisons on the average. Furthermore, we present data showing thatWEAK-HEAPSORT, RELAXED-WEAK-HEAPSORT andQUICKWEAK-HEAPSORT beat other performant QUICKSORT and HEAPSORT variants even for moderate values of n.
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