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一种求所有最长增量子序列的算法

An algorithm for computing the all longest increasing subsequence
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摘要 对计算最长增量子序列(longest increasing subsequence,LIS)的CM(Cover-Making)算法进行详细地分析,提出一个基于CM算法的新算法,可以求出一个序列的所有最长增量子序列。它的时间复杂度是O((m+1)k+(n-k)logk),空间复杂度是O(n+km)。 The Cover-Making(CM) algorithm of the longest increasing subsequence was analyzed, and a new algorithm that can compute a sequence' s all longest increasing subsequences was presented, based on the CM algorithm. The complexity of the time is O( (m + 1 )k + (n- k)log k) and the complexity of the space is O( n + km).
出处 《山东大学学报(工学版)》 CAS 北大核心 2010年第6期156-158,共3页 Journal of Shandong University(Engineering Science)
关键词 子序列 CM算法 最长增量子序列 所有最长增量子序列 subsequence CM algorithm longest increasing subsequence all longest increasing subsequence
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