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On Inverting the Burrows-Wheeler Transform

Author Nicola Cotumaccio

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Subject Classification

ACM Subject Classification
  • Theory of computation → Design and analysis of algorithms
  • Theory of computation → Models of computation
Keywords
  • Burrows-Wheeler transform
  • sorting
  • suffix array
  • element distinctness

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Abstract

We study the relationship between four fundamental problems: sorting, suffix sorting, element distinctness and BWT inversion. Our main contribution is an Ω(n log n) lower bound for BWT inversion in the comparison model. As a corollary, we obtain a new proof of the classical Ω(n log n) lower bound for sorting, which we believe to be of didactic interest for those who are not familiar with the Burrows-Wheeler transform.

Cite As Get BibTex

Nicola Cotumaccio. On Inverting the Burrows-Wheeler Transform. In From Strings to Graphs, and Back Again: A Festschrift for Roberto Grossi's 60th Birthday. Open Access Series in Informatics (OASIcs), Volume 132, pp. 17:1-17:8, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2025) https://doi.org/10.4230/OASIcs.Grossi.17

Author Details

Nicola Cotumaccio
  • University of Helsinki, Finland

Funding

Funded by the Helsinki Institute for Information Technology (HIIT).

References

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