Results 71 to 80 of about 114 (95)

On the shape of subword complexity sequences of finite words

open access: yesCoRR, 2013
The subword complexity of a word $w$ over a finite alphabet $\mathcal{A}$ is a function that assigns for each positive integer $n$, the number of distinct subwords of length $n$ in $w$. The subword complexity of a word is a good measure of the randomness of the word and gives insight to what the word itself looks like.
openaire   +2 more sources

On subword complexities of homomorphic images of languages [PDF]

open access: yesRAIRO. Informatique théorique, 1982
Andrzej Ehrenfeucht, Grzegorz Rozenberg
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Subword complexity and finite characteristic numbers

open access: yesActes des rencontres du CIRM, 2010
Summary: Decimal expansions of classical constants such as \(\sqrt{2}\), \(\pi\) and \(\zeta(3)\) have long been a source of difficult questions. In the case of finite characteristic numbers (Laurent series with coefficients in a finite field), where no carry-over difficulties appear, the situation seems to be simplified and drastically different.
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A note on the subword complexes in Coxeter groups

open access: yes, 2008
We prove that the Stanley--Reisner ideal of the Alexander dual of the subword complexes in Coxeter groups has linear quotients with respect to the lexicographical order of the minimal monomial generators. As a consequence, we obtain a shelling order on the facets of the subword complex.
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An improvement of subword complexity

Random Operators and Stochastic Equations, 2011
Abstract In this article we propose a simple method to estimate the complexity of a finite word written over a finite alphabet. We use the notion of subword complexity (which is equal to the number of different subwords in the word) as a starting point and show the computation difficulties connected with the usage of subword ...
Evgeny Ivanko
exaly   +2 more sources

Subword Complexity in Free Groups

Lecture Notes in Computer Science, 2013
Subword complexity is a basic invariant for words on a finite alphabet. I will explain how one can define a complexity for points in the boundary of a finitely generated free group F or for a lamination on F. This complexity, or rather the way it grows, is invariant under automorphisms of F and may be interpreted geometrically. I will discuss a version
Gilbert Levitt
exaly   +2 more sources

Relationally Periodic Sequences and Subword Complexity

Lecture Notes in Computer Science, 2008
By the famous theorem of Morse and Hedlund, a word is ultimately periodic if and only if it has bounded subword complexity, i.e., for sufficiently large n, the number of factors of length nis constant. In this paper we consider relational periods and relationally periodic sequences, where the relation is a similarity relation on words induced by a ...
Julien Cassaigne   +2 more
exaly   +2 more sources

On the subword complexity of locally catenative dol languages

Information Processing Letters, 1983
Abstract The subword complexity of language K, denoted Gv; K , is the function of positive integers such that Gv; K (n) equals the number of subwords of length n that occur in (words of) K. It is proved that if K is a locally catenative DOL language, then Gv; K is bounded by a linear function.
A Ehrenfeucht, G Rozenberg
exaly   +3 more sources

Subword complexity of a generalized Thue-Morse word

Information Processing Letters, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
John Tromp, Jeffrey Shallit
exaly   +3 more sources

On the subword complexity of m-free D0L languages

Information Processing Letters, 1983
Abstract A word is called m-free (m ⩾ 2) if it does not contain a subword of the form xm where x is a nonempty word. A language is called m-free if it consists of m-free words only. The subword complexity of a language K, denoted πK, is a function of positive integers which to each positive integer n assigns the number of different subwords of length
A Ehrenfeucht, G Rozenberg
exaly   +2 more sources

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