Generalized Parikh matrices of picture array
Abstract
The theory of Parikh matrices and subword occurrences has led to extensive research in combinatorics on words. The extension of Parikh matrix of a word into picture array is an another interesting problem. Since the Parikh matrix does not say about the number of subword occurrences in the array. Therefore, in this paper we introduce the generalized Parikh matrix of a picture array which gives the number of subwords occurrences in the array. We also discuss some properties of generalized Parikh matrices.
Copyright © 2021 K. Janaki, R. Arulprakasam, V.R. Dare. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
K. Janaki, R. Arulprakasam, V. R. Dare, Generalized Parikh matrices of picture array, J. Math. Comput. Sci. 11 (2021), 1955–1969. https://doi.org/10.28919/jmcs/5482
BibTeX
@article{Janaki2021,
author = {Janaki, K. and Arulprakasam, R. and Dare, V.R.},
title = {Generalized Parikh matrices of picture array},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {1955--1969},
doi = {10.28919/jmcs/5482}
}