The Minimum Substring Cover Problem

Danny Hermelin; Dror Rawitz; Romeo Rizzi; Stéphane Vialette

doi:10.1016/j.ic.2008.06.002

The Minimum Substring Cover Problem

Danny Hermelin, Dror Rawitz, Romeo Rizzi, Stéphane Vialette

Research output: Contribution to journal › Article › peer-review

12 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 several hardness of approximation results for the problem, and in the main part of the paper, we focus on devising approximation algorithms using two generic paradigms-the local-ratio technique and linear programming rounding.

Original language	English
Pages (from-to)	1303-1312
Number of pages	10
Journal	Information and Computation
Volume	206
Issue number	11
DOIs	https://doi.org/10.1016/j.ic.2008.06.002
State	Published - 1 Jan 2008
Externally published	Yes

Keywords

Approximation algorithms
Dictionary Generation
Local-ratio
Randomized rounding
Substring Cover

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10.1016/j.ic.2008.06.002

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title = "The Minimum Substring Cover Problem",

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 several hardness of approximation results for the problem, and in the main part of the paper, we focus on devising approximation algorithms using two generic paradigms-the local-ratio technique and linear programming rounding.",

keywords = "Approximation algorithms, Dictionary Generation, Local-ratio, Randomized rounding, Substring Cover",

author = "Danny Hermelin and Dror Rawitz and Romeo Rizzi and St{\'e}phane Vialette",

note = "Funding Information: E-mail addresses: danny@cri.haifa.ac.il (D. Hermelin), rawitz@eng.tau.ac.il (D. Rawitz), Romeo.Rizzi@dimi.uniud.it (R.Rizzi), vialette@lri.fr (S. Vialette). 1 Partially supported by the Caesarea Rothschild Institute (CRI). 2 Supported by the Italian-French PAI Galileo Project 08484VH.",

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doi = "10.1016/j.ic.2008.06.002",

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AU - Hermelin, Danny

AU - Rawitz, Dror

AU - Rizzi, Romeo

AU - Vialette, Stéphane

N1 - Funding Information: E-mail addresses: danny@cri.haifa.ac.il (D. Hermelin), rawitz@eng.tau.ac.il (D. Rawitz), Romeo.Rizzi@dimi.uniud.it (R.Rizzi), vialette@lri.fr (S. Vialette). 1 Partially supported by the Caesarea Rothschild Institute (CRI). 2 Supported by the Italian-French PAI Galileo Project 08484VH.

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N2 - 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 several hardness of approximation results for the problem, and in the main part of the paper, we focus on devising approximation algorithms using two generic paradigms-the local-ratio technique and linear programming rounding.

AB - 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 several hardness of approximation results for the problem, and in the main part of the paper, we focus on devising approximation algorithms using two generic paradigms-the local-ratio technique and linear programming rounding.

KW - Approximation algorithms

KW - Dictionary Generation

KW - Local-ratio

KW - Randomized rounding

KW - Substring Cover

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EP - 1312

JO - Information and Computation

JF - Information and Computation

SN - 0890-5401

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ER -

The Minimum Substring Cover Problem

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Keywords

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