### Abstract

Lingua originale | English |
---|---|

pagine (da-a) | 94-103 |

Numero di pagine | 10 |

Rivista | Theoretical Computer Science |

Volume | 460 |

Stato di pubblicazione | Published - 2012 |

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### All Science Journal Classification (ASJC) codes

- Theoretical Computer Science
- Computer Science(all)

### Cita questo

*Theoretical Computer Science*,

*460*, 94-103.

**Extracting string motif bases for quorum higher than two.** / Rombo, Simona Ester; Rombo, Simona E.

Risultato della ricerca: Article

*Theoretical Computer Science*, vol. 460, pagg. 94-103.

}

TY - JOUR

T1 - Extracting string motif bases for quorum higher than two

AU - Rombo, Simona Ester

AU - Rombo, Simona E.

PY - 2012

Y1 - 2012

N2 - Bases of generators of motifs consisting of strings in which some positions can be occupied by a don’t care provide a useful conceptual tool for their description and a way to reduce the time and space involved in the discovery process.In the last few years, a few algorithms have been proposed for the extraction of a basis, building in large part on combinatorial properties of strings and their autocorrelations.Currently, the most efficient techniques for binary alphabets and quorum q = 2 require time quadratic in the length of the host string. The present paper explores properties of motif bases for quorum q ≥ 2, both with binary and general alphabets, by also showing that important results holding for quorum q = 2 cannot be extended to this, more general, case. Furthermore, the extraction of motifs in which a bound is set on the maximum allowed number of don’t cares is addressed, and suitable algorithms are proposed whose computational complexity depends on the fixed bound.

AB - Bases of generators of motifs consisting of strings in which some positions can be occupied by a don’t care provide a useful conceptual tool for their description and a way to reduce the time and space involved in the discovery process.In the last few years, a few algorithms have been proposed for the extraction of a basis, building in large part on combinatorial properties of strings and their autocorrelations.Currently, the most efficient techniques for binary alphabets and quorum q = 2 require time quadratic in the length of the host string. The present paper explores properties of motif bases for quorum q ≥ 2, both with binary and general alphabets, by also showing that important results holding for quorum q = 2 cannot be extended to this, more general, case. Furthermore, the extraction of motifs in which a bound is set on the maximum allowed number of don’t cares is addressed, and suitable algorithms are proposed whose computational complexity depends on the fixed bound.

UR - http://hdl.handle.net/10447/65936

UR - http://www.sciencedirect.com/science/article/pii/S0304397512006032

M3 - Article

VL - 460

SP - 94

EP - 103

JO - Theoretical Computer Science

JF - Theoretical Computer Science

SN - 0304-3975

ER -