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Strings from Linear Recurrences: A Gray Code

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Combinatorics on Words (WORDS 2021)

Abstract

Each strictly increasing sequence of positive integers can be used to define a numeration system so that any non-negative integer can be represented by a suitable and unique string of digits. We consider sequences defined by a two termed linear recurrence with constant coefficients having some particular properties and investigate on the possibility to define a Gray code for the set of the strings arising from them.

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References

  1. Barcucci, E., Bernini, A., Pinzani, R.: A gray code for a regular language. In: Ferrari, L., Vamvakari, M. (eds.) GASCom 2018, CEUR Workshop Proceedings, vol. 2113, pp. 87–93 (2018). http://ceur-ws.org/Vol-2113/

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Correspondence to Antonio Bernini .

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Barcucci, E., Bernini, A., Pinzani, R. (2021). Strings from Linear Recurrences: A Gray Code. In: Lecroq, T., Puzynina, S. (eds) Combinatorics on Words. WORDS 2021. Lecture Notes in Computer Science(), vol 12847. Springer, Cham. https://doi.org/10.1007/978-3-030-85088-3_4

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  • DOI: https://doi.org/10.1007/978-3-030-85088-3_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-85087-6

  • Online ISBN: 978-3-030-85088-3

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