Fast linear-space computations of longest common subsequences

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Fast Linear-Space Computations of Longest Common Subsequences

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Simple and fast linear space computation of longest common subsequences

Given two sequences A = a1a2 . . . am and B = b1b2 . . . bn, m 6 n, over some alphabet Σ of size s the longest common subsequence (LCS) problem is to find a sequence of greatest possible length that can be obtained from both A and B by deleting zero or more (not necessarily adjacent) symbols. Applications for the LCS problem arise in many different areas since the length, p, of a longest common...

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The length of a longest common subsequence (LLCS) of two or more strings is a useful measure of their similarity. The LLCS of a pair of strings is related to thèedit distance', or number of mu-tations/errors/editing steps required in passing from one string to the other. In this talk, we explore some of the combinatorial properties of the sub-and super-sequence relations, survey various algorit...

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This paper shows that a simple algorithm produces the all-prefixes-LCSs-graph in O(mn) time for two input sequences of size m and n. Given any prefix p of the first input sequence and any prefix q of the second input sequence, all longest common subsequences (LCSs) of p and q can be generated in time proportional to the output size, once the all-prefixes-LCSs-graph has been constructed. The pro...

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References 1. Benner, F.H. On designing generalized file records for management information systems. Proc. AFIPS 1967 FJCC, Vol. 31, AFIPS Press, Montvale, N.J., pp. 291-303. 2. Burroughs DISK FORTE Users Manual. Burroughs Corp., Detroit, Mich., 1973. 3. Collmeyer, A.J., and Shemer, J.E. Analysis of retrieval performance for selected file organization techniques. Proc. AFIPS 1970 FJCC, Vol. 37,...

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ژورنال

عنوان ژورنال: Theoretical Computer Science

سال: 1992

ISSN: 0304-3975

DOI: 10.1016/0304-3975(92)90132-y