Subword topology

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چکیده

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On scattered subword complexity

Sequences of characters called words or strings are widely studied in combinatorics, and used in various fields of sciences (e.g. chemistry, physics, social sciences, biology [2, 3, 4, 11] etc.). The elements of a word are called letters. A contiguous part of a word (obtained by erasing a prefix or/and a suffix) is a subword or factor. If we erase arbitrary letters from a word, what is obtained...

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Asymptotic Subword Complexity

The subword complexity of an infinite word ξ is a function f (ξ, n) returning the number of finite subwords (factors, infixes) of length n of ξ. In the present paper we investigate infinite words for which the set of subwords occurring infinitely often is a regular language. Among these infinite words we characterise those which are eventually recurrent. Furthermore, we derive some results comp...

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Subword complexities and iteration

This paper is an overview of results' on the subword complexity of various classes of languages obtained by iterating a mapping, and more precisely on the asymptotic behaviour of this complexity. In the first section we consider iterated morphisms, that is DOL languages. In this area the subword complexity falls into one of five classes, and class membership can be determined. The second sectio...

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ژورنال

عنوان ژورنال: Theoretical Computer Science

سال: 1986

ISSN: 0304-3975

DOI: 10.1016/0304-3975(86)90143-x