On the Maximum Number of Distinct Palindromic Sub-arrays

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Abstract

We investigate the maximum number of distinct palindromic sub-arrays in a two-dimensional finite word over a finite alphabet (Formula Presented). For any finite array in (Formula Presented), we find an upper bound for the number of distinct palindromic sub-arrays and improve it by giving a tight bound on the maximum number of distinct palindromes in an array in (Formula Presented) for (Formula Presented). We then, propose a better upper bound for any finite array in(Formula Presented).

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Mahalingam, K., & Pandoh, P. (2019). On the Maximum Number of Distinct Palindromic Sub-arrays. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 11417 LNCS, pp. 434–446). Springer Verlag. https://doi.org/10.1007/978-3-030-13435-8_32

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