Relations on words

[en] In the first part of this survey, we present classical notions arising in combinatorics on words: growth function of a language, complexity function of an infinite word, pattern avoidance, periodicity and uniform recurrence. Our presentation tries to set up a unified framework with respect to a given binary relation. In the second part, we mainly focus on abelian equivalence, $k$-abelian equivalence, combinatorial coefficients and associated relations, Parikh matrices and $M$-equivalence. In particular, some new refinements of abelian equivalence are introduced.

Disciplines :

Computer science
Mathematics

Author, co-author :

Rigo, Michel ; Université de Liège > Département de mathématique > Mathématiques discrètes

Language :

English

Title :

Relations on words

Publication date :

2017

Journal title :

Indagationes Mathematicae

ISSN :

0019-3577

eISSN :

1872-6100

Publisher :

Elsevier, Amsterdam, Netherlands

Volume :

Pages :

183-204

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 25 November 2016

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Bibliography

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