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An improvement of subword complexity

  • Evgeny Ivanko EMAIL logo
Published/Copyright: May 2, 2011
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Random Operators and Stochastic Equations
From the journal Volume 19 Issue 2

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 complexity. To avoid them we propose a new simple measure of a word's complexity, which turned out to be not only easy to compute, but also more precise than classical subword complexity.

Received: 2010-10-11
Accepted: 2011-02-07
Published Online: 2011-05-02
Published in Print: 2011-June

© de Gruyter 2011

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