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De Bruijn Sequences and Suffix Arrays: Analysis and Constructions

In: Modern Discrete Mathematics and Analysis

Author

Listed:
  • Konstantinos Limniotis

    (Open University of Cyprus
    Hellenic Data Protection Authority)

  • Nicholas Kolokotronis

    (University of Peloponnese)

  • Dimitrios Kotanidis

    (Open University of Cyprus)

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.

Suggested Citation

  • Konstantinos Limniotis & Nicholas Kolokotronis & Dimitrios Kotanidis, 2018. "De Bruijn Sequences and Suffix Arrays: Analysis and Constructions," Springer Optimization and Its Applications, in: Nicholas J. Daras & Themistocles M. Rassias (ed.), Modern Discrete Mathematics and Analysis, pages 297-316, Springer.
    • Handle: RePEc:spr:spochp:978-3-319-74325-7_15
    DOI: 10.1007/978-3-319-74325-7_15
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