On the longest common parameterized subsequence

Orgad Keller, Tsvi Kopelowitz, Moshe Lewenstein

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

The well-known problem of the longest common subsequence (LCS), of two strings of lengths n and m respectively, is O(nm)-time solvable and is a classical distance measure for strings. Another well-studied string comparison measure is that of parameterized matching, where two equal-length strings are a parameterized-match if there exists a bijection on the alphabets such that one string matches the other under the bijection. All works associated with parameterized pattern matching present polynomial time algorithms. There have been several attempts to accommodate parameterized matching along with other distance measures, as these turn out to be natural problems, e.g., Hamming distance, and a bounded version of edit-distance. Several algorithms have been proposed for these problems. In this paper we consider the longest common parameterized subsequence problem which combines the LCS measure with parameterized matching. We prove that the problem is NP-hard, and then show a couple of approximation algorithms for the problem.

Original languageEnglish
Title of host publicationCombinatorial Pattern Matching - 19th Annual Symposium, CPM 2008, Proceedings
Pages303-315
Number of pages13
DOIs
StatePublished - 2008
Event19th Annual Symposium on Combinatorial Pattern Matching, CPM 2008 - Pisa, Italy
Duration: 18 Jun 200820 Jun 2008

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume5029 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference19th Annual Symposium on Combinatorial Pattern Matching, CPM 2008
Country/TerritoryItaly
CityPisa
Period18/06/0820/06/08

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