Geodesic
Generalizations of Parikh mappings
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 44 (2010) no. 2, pp. 209-228

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Parikh matrices have become a useful tool for investigation of subword structure of words. Several generalizations of this concept have been considered. Based on the concept of formal power series, we describe a general framework covering most of these generalizations. In addition, we provide a new characterization of binary amiable words - words having a common Parikh matrix.

DOI : 10.1051/ita/2009021
Classification : 68R15
Keywords: Parikh mapping, Parikh matrix, formal power series, Prouhet-Tarry-Escott problem, subword, amiable words 
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     author = {\v{C}ern\'y, Anton},
     title = {Generalizations of {Parikh} mappings},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {209--228},
     publisher = {EDP-Sciences},
     volume = {44},
     number = {2},
     year = {2010},
     doi = {10.1051/ita/2009021},
     mrnumber = {2674541},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ita/2009021/}
}
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Černý, Anton. Generalizations of Parikh mappings. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 44 (2010) no. 2, pp. 209-228. doi: 10.1051/ita/2009021

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