On the Number of Equal-Letter Runs of the Bijective Burrows-Wheeler Transform

Elena Biagi, Davide Cenzato, Zsuzsanna Liptak, Giuseppe Romana

Research output: Contribution to journalConference articleScientificpeer-review

Abstract

The Bijective Burrows-Wheeler Transform (BBWT) is a variant of the famous BWT [Burrows and Wheeler, 1994]. The BBWT was introduced by Gil and Scott in 2012, and is based on the extended BWT of Mantaci et al. [TCS 2007] and on the Lyndon factorization of the input string. In the original paper, the compression achieved with the BBWT was shown to be competitive with that of the BWT, and it has been gaining interest in recent years. In this work, we present the first study of the number of runs rB of the BBWT, which is a measure of its compression power. We exhibit an infinite family of strings on which rB of the string and of its reverse differ by a multiplicative factor of T(log n), where n is the length of the string.

Original languageEnglish
JournalCEUR Workshop Proceedings
Volume3587
Pages (from-to)129-142
Number of pages14
ISSN1613-0073
Publication statusPublished - 2023
MoE publication typeA4 Article in conference proceedings
EventItalian Conference on Theoretical Computer Science - Palermo, Italy
Duration: 13 Sept 202315 Sept 2023
Conference number: 24

Fields of Science

  • Bijective Burrows-Wheeler Transform
  • BWT
  • data compression
  • eBWT
  • Lyndon factorization
  • ombinatorics on words
  • 113 Computer and information sciences

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