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- W2993179670 abstract "The introduction of Parikh matrices by Mateescu et al. in 2001 has sparked numerous new investigations in the theory of formal languages by various researchers, among whom is Serbanuţa. Recently, a decade-old conjecture by Serbǎnuţǎ on the M-ambiguity of words has disproved, leading to new possibilities in the study of such words. In this paper, we investigate how selective repeated duplications of letters in a word affect the M-ambiguity of the resulting words. The corresponding M-ambiguity of each of those words is then presented in sequences, which we term as M-ambiguity sequences. We show that nearly all patterns of M-ambiguity sequences are attainable. Finally, by employing certain algebraic approach and some underlying theory in integer programming, we show that repeated periodic duplications of letters of the same type in a word result in an M-ambiguity sequence that is ultimately periodic." @default.
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- W2993179670 date "2019-12-06" @default.
- W2993179670 modified "2023-09-24" @default.
- W2993179670 title "M-ambiguity Sequences for Parikh Matrices and Their Periodicity Revisited" @default.
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- W2993179670 doi "https://doi.org/10.1007/s40840-019-00867-w" @default.
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