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Generalizations of Parikh mappings

Published online by Cambridge University Press:  16 December 2009

Anton Černý
Anton Černý*
Affiliation:
Department of Information Science, Kuwait University, P.O. Box 5969 Safat 13060, Kuwait; anton.cerny@ku.edu.kw
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Abstract

Parikh matrices have become a useful tool for investigation of subwordstructure of words. Several generalizations of this concept have beenconsidered. Based on the concept of formal power series, we describe a generalframework covering most of these generalizations. In addition, we provide anew characterization of binary amiable words – words having a common Parikh matrix.

Keywords

Parikh mappingParikh matrixformal power seriesProuhet-Tarry-Escottproblemsubwordamiable words

Information

Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 44 , Issue 2 , April 2010, pp. 209 - 228
Copyright
© EDP Sciences, 2010

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