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Mirror substitutions and palindromic sequences

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 2007Publisher:Elsevier BVJournal:Theoretical Computer Science, volume 389, pages 118-124 (issn: 0304-3975, Copyright policy )
Authors: Bo Tan;

doi: 10.1016/j.tcs.2007.08.003

Mirror substitutions and palindromic sequences

Abstract

AbstractBy introducing the notion of mirror substitution, we show that, given a substitutive sequence over two letters, it is palindromic (that is, it contains arbitrarily long palindromes) if and only if its language is mirror-invariant (that is, it is closed under the mirror image map). Then we solve a question of Hof, Knill and Simon in the 2-letter case, and also, by constructing a counterexample, we give a negative answer to the open problem 4 in the webpage: http://iml.univ-mrs.fr/~bernat/openquestions.html.

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Keywords

Mirror substitution, Palindrome, Theoretical Computer Science, Computer Science(all)

  • BIP!
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    		 18
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    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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    influence
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
18
Average
Top 10%
Average
hybrid