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  1. Home > Articles & Issues >
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  3. Permutation complexi ...
Article

Permutation complexity of images of Sturmian words by marked morphisms

Adam Borchert, Narad Rampersad
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Submitted on
November 2, 2017
Accepted on
May 21, 2018
Published on
June 4, 2018
Last modified on
March 31, 2025
Volume 20
Vol. 20:1
Combinatorics
DOI
10.23638/DMTCS-20-1-20
License
arXiv.org - Non-exclusive license to distribute
Natural Sciences and Engineering Research Council of Canada
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1094
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Permutation complexity of images of Sturmian words by marked morphisms

Adam Borchert, Narad Rampersad
Abstract
We show that the permutation complexity of the image of a Sturmian word by a binary marked morphism is $n+k$ for some constant $k$ and all lengths $n$ sufficiently large. Comment: 9 pages
Keywords
  • Mathematics - Combinatorics
  • Computer Science - Formal Languages and Automata Theory
  • 68R15
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