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 vector appears in such a matrix as the second diagonal. However, the matrix product gives more information about a word than the Parikh vector. We characterize the matrix products and establish also an interesting interconnection between mirror images of words and inverses of matrices.
Keywords: formal languages, Parikh mapping, scattered subwords
@article{ITA_2001__35_6_551_0, author = {Mateescu, Alexandru and Salomaa, Arto and Salomaa, Kai and Yu, Sheng}, title = {A sharpening of the {Parikh} mapping}, journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications}, pages = {551--564}, publisher = {EDP-Sciences}, volume = {35}, number = {6}, year = {2001}, mrnumber = {1922295}, zbl = {1005.68092}, language = {en}, url = {http://archive.numdam.org/item/ITA_2001__35_6_551_0/} }
TY - JOUR AU - Mateescu, Alexandru AU - Salomaa, Arto AU - Salomaa, Kai AU - Yu, Sheng TI - A sharpening of the Parikh mapping JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications PY - 2001 SP - 551 EP - 564 VL - 35 IS - 6 PB - EDP-Sciences UR - http://archive.numdam.org/item/ITA_2001__35_6_551_0/ LA - en ID - ITA_2001__35_6_551_0 ER -
%0 Journal Article %A Mateescu, Alexandru %A Salomaa, Arto %A Salomaa, Kai %A Yu, Sheng %T A sharpening of the Parikh mapping %J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications %D 2001 %P 551-564 %V 35 %N 6 %I EDP-Sciences %U http://archive.numdam.org/item/ITA_2001__35_6_551_0/ %G en %F ITA_2001__35_6_551_0
Mateescu, Alexandru; Salomaa, Arto; Salomaa, Kai; Yu, Sheng. A sharpening of the Parikh mapping. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Volume 35 (2001) no. 6, pp. 551-564. http://archive.numdam.org/item/ITA_2001__35_6_551_0/
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