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A Faster Algorithm for Computing a Longest Common Increasing Subsequence
Irit Katriel
Martin Kutz
出版
Max-Planck-Institut für Informatik
, 2005
URL
http://books.google.com.hk/books?id=fwkntwAACAAJ&hl=&source=gbs_api
註釋
Abstract: "Let A = a1 ..., a[subscript n] and B = b1 ..., b[subscript m] be two sequences with m [> or =] n, whose elements are drawn from a totally ordered set. We present an algorithm that finds a longest common increasing subsequence of A and B in O(m log m + nl log n) time and O(m + nl) space, where l is the length of the output. A previous algorithm by Yang et al. needs [theta](mn) time and space, so ours is faster for a wide range of values of m, n and l."