Subword histories and Parikh matrices
نویسندگان
چکیده
منابع مشابه
Subword histories and associated matrices
The basic numerical quantity investigated in this paper is |w|u, the number of occurrences of a word u as a scattered subword of a word w. Arithmetical combinations of such quantities yield a so-called subword history. We investigate the information content of subword histories. Reducing subword histories to linear ones, as well as the recently introduced Parikh matrices, will be important tool...
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Since the introduction of the Parikh matrix mapping, its injectivity problem is on top of the list of open problems in this topic. In 2010 Salomaa provided a solution for the ternary alphabet in terms of a Thue system with an additional feature called counter. This paper proposes the notion of a Parikh rewriting system as a generalization and systematization of Salomaa’s result. It will be show...
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We introduce the notion of Parikh matrix induced by a word, a natural extension to the notion of Parikh matrix and prove a set of properties for this kind of matrices. We also study the relation between these two notions. We show that combining properties from both we obtain a more powerful tool for proving algebraic properties of words.
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Mateescu et al (2000) introduced an interesting new tool, called Parikh matrix, to study in terms of subwords, the numerical properties of words over an alphabet. The Parikh matrix gives more information than the well-known Parikh vector of a word which counts only occurrences of symbols in a word. In this note a property of two words u, v, called “ratio property”, is introduced. This property ...
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1. A. Atanasiu. Binary amiable words. International Journal of Foundations of Computer Science, 18(2):387–400, 2007. 2. A. Atanasiu, R. Atanasiu, and I. Petre. Parikh matrices and amiable words. Theoretical Computer Science, 390:102–109, 2008. 3. A. Atanasiu, C. Martin-Vide, and A. Mateescu. On the injectivity of the parikh matrix mapping. Fundamenta Informatica, 46:1–11, 2001. 4. S. Bera and K...
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ژورنال
عنوان ژورنال: Journal of Computer and System Sciences
سال: 2004
ISSN: 0022-0000
DOI: 10.1016/j.jcss.2003.04.001