The Minimum Substring Cover Problem

Dan Hermelin, Dror Rawitz, Romeo Rizzi, Stéphane Vialette

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

5 Scopus citations

Abstract

In this paper we consider the problem of covering a set of strings S with a set C of substrings in S, where C is said to cover S if every string in S can be written as a concatenation of the substrings in C. We discuss applications for the problem that arise in the context of computational biology and formal language theory. We then proceed to show that this problem is at least as hard as the PBMinimum Set Cover problem. In the main part of the paper, we focus on devising approximation algorithms for the problem using two generic paradigms - the local-ratio technique and linear programming rounding.

Original languageEnglish GB
Title of host publicationApproximation and Online Algorithms
Subtitle of host publication5th International Workshop, WAOA 2007
EditorsChristos Kaklamanis, Martin Skutella
PublisherSpringer
Pages170-183
Number of pages14
DOIs
StatePublished - 2007
Externally publishedYes
Event5th International Workshop on Approximation and Online Algorithms, WAOA 2007 - Eilat, Israel
Duration: 11 Oct 200712 Oct 2007

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
PublisherSpringer Verlag
ISSN (Print)0302-9743

Conference

Conference5th International Workshop on Approximation and Online Algorithms, WAOA 2007
Country/TerritoryIsrael
CityEilat
Period11/10/0712/10/07

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science (all)

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