Algebraic Properties of Parikh Matrices of Binary Picture Arrays
Joint Authors
Bera, Somnath
Sriram, Sastha
Nagar, Atulya K.
Subramanian, K. G.
Pan, L.
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-29
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
A word is a finite sequence of symbols.
Parikh matrix of a word is an upper triangular matrix with ones in the main diagonal and nonnegative integers above the main diagonal which are counts of certain scattered subwords in the word.
On the other hand, a picture array, which is a rectangular arrangement of symbols, is an extension of the notion of a word to two dimensions.
Parikh matrices associated with a picture array have been introduced, and their properties have been studied.
Here, we obtain certain algebraic properties of Parikh matrices of binary picture arrays based on the notions of power, fairness, and a restricted shuffle operator extending the corresponding notions studied in the case of words.
We also obtain properties of Parikh matrices of arrays formed by certain geometric operations.
American Psychological Association (APA)
Bera, Somnath& Sriram, Sastha& Nagar, Atulya K.& Pan, L.& Subramanian, K. G.. 2020. Algebraic Properties of Parikh Matrices of Binary Picture Arrays. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1188026
Modern Language Association (MLA)
Bera, Somnath…[et al.]. Algebraic Properties of Parikh Matrices of Binary Picture Arrays. Journal of Mathematics No. 2020 (2020), pp.1-7.
https://search.emarefa.net/detail/BIM-1188026
American Medical Association (AMA)
Bera, Somnath& Sriram, Sastha& Nagar, Atulya K.& Pan, L.& Subramanian, K. G.. Algebraic Properties of Parikh Matrices of Binary Picture Arrays. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1188026
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188026