منابع مشابه
Asymptotically Eecient In-place Merging ?
Two linear-time algorithms for in-place merging are presented. Both algorithms perform at most m(t+1)+n=2 t +o(m) comparisons, where m and n are the sizes of the input sequences, m n, and t = blog 2 (n=m)c. The rst algorithm is for unstable merging and it carries out no more than 3(n+m)+o(m) element moves. The second algorithm is for stable merging and it accomplishes at most 5n+12m+o(m) moves.
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We introduce a new stable in place merging algorithm that needs O(m log( n m +1)) comparisons and O(m+n) assignments. According to the lower bounds for merging our algorithm is asymptotically optimal regarding the number of comparisons as well as assignments. The stable algorithm is developed in a modular style out of an unstable kernel for which we give a definition in pseudocode. The literatu...
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We present an algorithm for asymptotically efficient multiway blockwise in-place merging. Given an array A containing sorted subsequences A1, . . . , Ak of respective lengths n1, . . . , nk, where ∑k i=1 ni = n, we assume that extra k ·s elements (so called buffer elements) are positioned at the very end of array A, and that the lengths n1, . . . , nk are positive integer multiples of some para...
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We investigate the problem of stable in-place merging from a ratio k = n m based point of view where m, n are the sizes of the input sequences with m ≤ n . We introduce a novel algorithm for this problem that is asymptotically optimal regarding the number of assignments as well as comparisons. Our algorithm uses knowledge about the ratio of the input sizes to gain optimality and does not stay i...
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[lo] H. Cramer and M. Leadbetter, “The moments of the number of [13] L. Ehrman, “Analysis of a zero-crossing frequency discriminator crossings of a level by a stationary normal process,” Ann. Math. with random inputs,” IEEE Trans. Aerospace and Navigational Stat., vol. 36, pp. 165661663, 1965. Electronics, vol. ANE-12, pp. 113-119, June 1965. [II] M. Loeve, Probability Theory. New York: Van Nos...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 2000
ISSN: 0304-3975
DOI: 10.1016/s0304-3975(98)00162-5