A note on the Burrows-Wheeler transformation
Maxime Crochemore (IGM), Jacques D\'esarm\'enien (IGM), Dominique, Perrin (IGM)
TL;DR
This paper explores the relationship between the Burrows-Wheeler transformation and a combinatorial result called the Gessel-Reutenauer transformation, highlighting their connections in the context of combinatorics on words.
Contribution
It establishes a novel link between the Burrows-Wheeler transformation and the Gessel-Reutenauer transformation, enriching the theoretical understanding of these combinatorial tools.
Findings
Identifies a connection between BWT and Gessel-Reutenauer transformation
Provides a new perspective on combinatorics on words
Enhances theoretical framework of string transformations
Abstract
We relate the Burrows-Wheeler transformation with a result in combinatorics on words known as the Gessel-Reutenauer transformation.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · semigroups and automata theory · Mathematics and Applications