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Two-dimensional picture arrays and Parikh q-matrices
, K. Mahalingam, L. Pan, K.G. Subramanian
Published in Institute of Physics Publishing
2018
Volume: 1132
   
Issue: 1
Abstract
Based on the idea of "q-count" of certain subwords of a word and generalizing the notion of Parikh matrix of a word, the notion of Parikh q-matrix of a word over an ordered alphabet was introduced. On the other hand, with a two-dimensional picture array of symbols arranged in rows and columns, two kinds of upper triangular matrices, known as row and column Parikh matrices have also been introduced and investigated. Here combining these two kinds of matrices of a picture array, we introduce row/column Parikh q-matrix of an array, leading to the concept of q- A mbiguity of a picture array. Results relating to q- A mbiguity of picture arrays are derived in the context of these Parikh q-matrices of arrays. © Published under licence by IOP Publishing Ltd.
About the journal
JournalJournal of Physics: Conference Series
PublisherInstitute of Physics Publishing
ISSN17426588