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De Bruijn Sequences and Suffix Arrays: Analysis and Constructions

Konstantinos Limniotis (), Nicholas Kolokotronis () and Dimitrios Kotanidis ()
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Konstantinos Limniotis: Open University of Cyprus
Nicholas Kolokotronis: University of Peloponnese
Dimitrios Kotanidis: Open University of Cyprus

A chapter in Modern Discrete Mathematics and Analysis, 2018, pp 297-316 from Springer

Abstract: Abstract Binary De Bruijn sequences are studied in this work, by means of analysing the properties of their suffix arrays. More precisely, specific properties that are present in the suffix array of any binary De Bruijn sequence are proved; by this way, it is shown that building an appropriate array based on these properties is equivalent to constructing a De Bruijn sequence. Therefore, simultaneous construction of a De Bruijn sequence and its suffix array is possible, whereas any possible De Bruijn sequence can be theoretically obtained. It is also shown that known constructions of De Bruijn sequences, such as the method of cross-join pairs, can be facilitated by the use of suffix arrays.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-74325-7_15

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DOI: 10.1007/978-3-319-74325-7_15

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