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Wen Chean Teh
School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM, Malaysia
Computer Science & IT Decision Sciences, Operations Research & Management

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On M-unambiguity of Parikh matrices Wen Chean Teh
Indonesian Journal of Combinatorics Vol 4, No 1 (2020)
Publisher : Indonesian Combinatorial Society (InaCombS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (238.38 KB) | DOI: 10.19184/ijc.2020.4.1.1

Abstract

The Parikh matrix mapping was introduced by Mateescu et al. in 2001 as a canonical generalization of the classical Parikh mapping. The injectivity problem of Parikh matrices, even for ternary case, has withstanded numerous attempts over a decade by various researchers, among whom is Serbanuta. Certain M-ambiguous words are crucial in Serbanuta's findings about the number of M-unambiguous prints. We will show that these words are in fact strongly M-ambiguous, thus suggesting a possible extension of Serbanuta’s work to the context of strong M-equivalence. In addition, initial results pertaining to a related conjecture by Serbanuta will be presented.
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