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Properties of Subwords of Binary Words under Dejean morphism | ||
| Communications in Combinatorics and Optimization | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 02 آذر 1404 اصل مقاله (378.07 K) | ||
| نوع مقاله: Special Issue for ICGTA23 | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2025.30296.2405 | ||
| نویسندگان | ||
| Somnath Bera1؛ Sastha Sriram2؛ A.S. Prasanna Venkatesan3؛ Atulya K. Nagar4؛ K.G. Subramanian* 4 | ||
| 1Vellore Institute of Technology Chennai, Department of Mathematics, School of Advanced Sciences, Chennai 600036 India | ||
| 2Department of Mathematics, Rajalakshmi Engineering College, Thandalam, Chennai 602 105 India | ||
| 3Department of Mathematics, Government Arts College, Dharmapuri, Tamil Nadu, 636 705 India | ||
| 4Department of Mathematics, Computer Science and Engineering, Liverpool Hope University, Liverpool L16 9JD U.K. | ||
| چکیده | ||
| A word w is a finite sequence of symbols belonging to a finite set, called an alphabet. A scattered subword of a word w is a subsequence of w. The Parikh matrix of a word w over an ordered alphabet with an ordering on its elements, is an upper triangular matrix with its entries giving the counts of different occurrences of certain scattered subwords in the word w. Based on the notions of scattered subword and Parikh matrix, several properties of images of words under morphisms have been established. Here we consider Dejean morphism on three letters and derive several properties for images of binary words under this morphism in the context of Parikh matrices. | ||
| کلیدواژهها | ||
| Scattered subword؛ Parikh matrix؛ Dejean morphism | ||
| مراجع | ||
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[24] K.G. Subramanian, S. Sriram, and A.S. Prasanna Venkatesan, Parikh matrix of a word under Dejean morphism, 13th Annual ADMA Conference and Graph Theory Day-XIII, India, 2017. | ||
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