Local search for string problems: Brute-force is essentially optimal

Jiong Guo, Danny Hermelin, Christian Komusiewicz

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

We address the problem of whether the brute-force procedure for the local improvement step in a local search algorithm can substantially be improved when applied to classical NP-hard string problems. We examine four of the more prominent problems in this domain: Closest String, Longest Common Subsequence, Shortest Common Supersequence, and Shortest Common Superstring. Herein, we consider arguably the most fundamental string distance measure, namely the Hamming distance, which has been applied in practical local search implementations for string problems. Our results indicate that for all four problems, the brute-force algorithm cannot be considerably improved.

Original languageEnglish
Pages (from-to)30-41
Number of pages12
JournalTheoretical Computer Science
Volume525
DOIs
StatePublished - 13 Mar 2014

Keywords

  • Closest String
  • Local search
  • Longest Common Subsequence
  • Parameterized complexity
  • Parameterized intractability
  • Shortest Common Supersequence
  • Shortest Common Superstring

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