A sharpening of the Parikh mapping
Alexandru Mateescu, Arto Salomaa, Kai Salomaa, Sheng Yu (2001)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
Similarity:
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.