Matching for Run-Length Encoded Strings

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Matching for Run-Length Encoded Strings

1 Motivation Measuring the similarity between two strings, through such standard measures as Hamming distance, edit distance, and longest common subsequence, is one of the fundamental problems in pattern matching. We consider the problem of nding the longest common subsequence of two strings. A well-known dynamic programming algorithm computes the longest common subsequence of strings X and Y i...

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Edit distance of run-length encoded strings

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Sequence Alignment Algorithms for Run-Length-Encoded Strings

A unified framework is applied to solving various sequence comparison problems for run-length encoded strings. All of these algorithms take O(min{mn′,m′n}) time and O(max{m,n}) space, for two strings of lengths m and n, with m′ and n′ runs, respectively. We assume the linear-gap model and make no assumption on the scoring matrices, which maximizes the applicability of these algorithms. The trac...

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We consider the problem of answering shortest unique substring (SUS) queries on run-length encoded strings. For a string S, a unique substring u = S[i..j] is said to be a shortest unique substring (SUS) of S containing an interval [s, t] (i ≤ s ≤ t ≤ j) if for any i′ ≤ s ≤ t ≤ j′ with j − i > j′ − i′, S[i′..j′] occurs at least twice in S. Given a run-length encoding of size m of a string of len...

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In the constrained longest common subsequence (CLCS) problem, we are given two sequences X , Y and the constrained sequence P in run-length encoded (RLE) format, where |X| = n, |Y | = m and |P | = r and the numbers of runs in RLE format are N , M and R, respectively. In this paper, we show that after the sequences are encoded, the CLCS problem can be solved in O(NMr+ r × min{q1, q2} + q3) time,...

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ژورنال

عنوان ژورنال: Journal of Complexity

سال: 1999

ISSN: 0885-064X

DOI: 10.1006/jcom.1998.0493