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EnglishThe Burrows-Wheeler Transform is a text permutation that has revolutionized the fields of pattern matching and text compression, bridging the gap existing between the two. In this paper we approach the BWT-construction problem generalizing a well-known algorithm—based on backward search and dynamic strings manipulation—to work in a context-wise fashion, using automata on words. Let n , σ , and Hk be the text length, the alphabet size, and the k -th order empirical entropy of the text, respectively. Moreover, let H∗k=min{Hk+1,⌈logσ⌉} . Under the word RAM model with word size w∈Θ(logn) , our algorithm builds the BWT in average O(nH∗k) time using nH∗k+o(nH∗k) bits of space, where k=log_σ(n/log2n)−1 . We experimentally show that our algorithm has very good performances (essentially linear time) on DNA sequences, using about 2.6 bits per input symbol in RAM.
| Titolo: | Average Linear Time and Compressed Space Construction of the Burrows-Wheeler Transform | |
| Autori: | ||
| Data di pubblicazione: | 2015 | |
| Abstract: | The Burrows-Wheeler Transform is a text permutation that has revolutionized the fields of pattern matching and text compression, bridging the gap existing between the two. In this paper we approach the BWT-construction problem generalizing a well-known algorithm—based on backward search and dynamic strings manipulation—to work in a context-wise fashion, using automata on words. Let n , σ , and Hk be the text length, the alphabet size, and the k -th order empirical entropy of the text, respectively. Moreover, let H∗k=min{Hk+1,⌈logσ⌉} . Under the word RAM model with word size w∈Θ(logn) , our algorithm builds the BWT in average O(nH∗k) time using nH∗k+o(nH∗k) bits of space, where k=log_σ(n/log2n)−1 . We experimentally show that our algorithm has very good performances (essentially linear time) on DNA sequences, using about 2.6 bits per input symbol in RAM. | |
| Handle: | http://hdl.handle.net/11390/1063735 | |
| ISBN: | 978-3-319-15578-4 978-3-319-15579-1 978-3-319-15578-4 978-3-319-15579-1 | |
| Appare nelle tipologie: | 4.1 Contributo in Atti di convegno |
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