### Abstract

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

Pagine | 1-17 |

Numero di pagine | 17 |

Stato di pubblicazione | Published - 2018 |

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### All Science Journal Classification (ASJC) codes

- Theoretical Computer Science
- Computer Science(all)

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*Block Sorting-Based Transformations on Words: Beyond the Magic BWT*. 1-17.

**Block Sorting-Based Transformations on Words: Beyond the Magic BWT.** / Giancarlo, Raffaele; Rosone, Giovanna; Sciortino, Marinella; Restivo, Antonio; Rosone, Giovanna; Manzini, Giovanni.

Risultato della ricerca: Other

}

TY - CONF

T1 - Block Sorting-Based Transformations on Words: Beyond the Magic BWT

AU - Giancarlo, Raffaele

AU - Rosone, Giovanna

AU - Sciortino, Marinella

AU - Restivo, Antonio

AU - Rosone, Giovanna

AU - Manzini, Giovanni

PY - 2018

Y1 - 2018

N2 - The Burrows-Wheeler Transform (BWT) is a word transformation introduced in 1994 for Data Compression and later results have contributed to make it a fundamental tool for the design of self-indexing compressed data structures. The Alternating Burrows-Wheeler Transform (ABWT) is a more recent transformation, studied in the context of Combinatorics on Words, that works in a similar way, using an alternating lexicographical order instead of the usual one. In this paper we study a more general class of block sorting-based transformations. The transformations in this new class prove to be interesting combinatorial tools that offer new research perspectives. In particular, we show that all the transformations in this class can be used as booster for memoryless compressors and we provide an upper bound on the number of equal-letter runs in their output. Moreover, we introduce the notion of rank-invertibility, a property related to the implementation of an efficient inversion procedure. We show that the BWT and the Alternating BWT are the only rank-invertible transformations in the class we have defined.

AB - The Burrows-Wheeler Transform (BWT) is a word transformation introduced in 1994 for Data Compression and later results have contributed to make it a fundamental tool for the design of self-indexing compressed data structures. The Alternating Burrows-Wheeler Transform (ABWT) is a more recent transformation, studied in the context of Combinatorics on Words, that works in a similar way, using an alternating lexicographical order instead of the usual one. In this paper we study a more general class of block sorting-based transformations. The transformations in this new class prove to be interesting combinatorial tools that offer new research perspectives. In particular, we show that all the transformations in this class can be used as booster for memoryless compressors and we provide an upper bound on the number of equal-letter runs in their output. Moreover, we introduce the notion of rank-invertibility, a property related to the implementation of an efficient inversion procedure. We show that the BWT and the Alternating BWT are the only rank-invertible transformations in the class we have defined.

UR - http://hdl.handle.net/10447/301703

UR - https://www.springer.com/series/558

M3 - Other

SP - 1

EP - 17

ER -