ALGORITHMS FOR APPROXIMATE K-COVERING OF STRINGS

Author:

ZHANG LILI1,BLANCHET-SADRI F.2

Affiliation:

1. Department of Mathematical Sciences, University of North Carolina, P. O. Box 26170, Greensboro, North Carolina 27402–6170, United States

2. Department of Mathematical Sciences, University of North Carolina, P.O. Box 26170, Greensboro, North Carolina 27402–6170, United States

Abstract

Computing approximate patterns in strings or sequences has important applications in DNA sequence analysis, data compression, musical text analysis, and so on. In this paper, we introduce approximate k-covers and study them under various commonly used distance measures. We propose the following problem: "Given a string x of length n, a set U of m strings of length k, and a distance measure, compute the minimum number t such that U is a set of approximate k-covers for x with distance t". To solve this problem, we present three algorithms with time complexity O(km(n - k)), O(mn2) and O(mn2) under Hamming, Levenshtein and edit distance, respectively. A World Wide Web server interface has been established at for automated use of the programs.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computer Science (miscellaneous)

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. String Covering: A Survey;Fundamenta Informaticae;2023-10-27

2. The set of parameterized k-covers problem;Theoretical Computer Science;2012-03

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