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A sharpening of the Parikh mapping

Published online by Cambridge University Press:  15 July 2002

Alexandru Mateescu,
Arto Salomaa,
Kai Salomaa and
Sheng Yu
Alexandru Mateescu
Affiliation:
Faculty of Mathematics, University of Bucharest, Academiei 14, Bucharest, Romania; (alexmate@pcnet.pcnet.ro)
Arto Salomaa
Affiliation:
Turku Centre for Computer Science, Lemminkäisenkatu 14, 20520 Turku, Finland; (asalomaa@utu.fi)
Kai Salomaa
Affiliation:
Department of Computing and Information Science, Queen's University, Kingston, Ontario K7L 3N6, Canada; (ksalomaa@cs.queensu.ca)
Sheng Yu
Affiliation:
Department of Computer Science, University of Western Ontario, London, Ontario N6A 5B7, Canada; (syu@csd.uwo.ca)
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Abstract

In this paper we introduce a sharpening of the Parikh mapping and investigate its basic properties.The new mapping is based on square matrices of a certain form. The classical Parikh vectorappears in such a matrix as the second diagonal.However, the matrix product gives more information abouta word than the Parikh vector. We characterize the matrixproducts and establish also an interesting interconnectionbetween mirror images of words and inverses of .

Keywords

Formal languagesParikh mappingscattered subwords.

Information

Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 35 , Issue 6: A tribute to Aldo de Luca , November 2001, pp. 551 - 564
Copyright
© EDP Sciences, 2001

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References

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