Properties of Variants of Lyndon Partial Words

被引:0
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作者
Arulprakasam, R. [1 ]
Kumari, R. Krishna [2 ]
Janaki, K. [3 ]
Jeyanthi, L. [4 ]
Madhusoodhanan, P. [5 ]
机构
[1] Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur, Tamilnadu, Chennai,603203, India
[2] Career Development Centre, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur, Tamilnadu, Chennai,603203, India
[3] Department of Mathematics, Saveetha Engineering College, Saveetha Na-gar, Tamilnadu, Thandalam Chennai,602105, India
[4] Department of Mathematics, Panimalar Engineering College, Varadharajapuram, Poonamallee, Tamilnadu, Chennai,600123, India
[5] Head in Career Development Centre, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur, Tamilnadu, Chennai,603203, India
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中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Lyndon words have been extensively studied in different contexts of free Lie algebra and combinatorics. All Lyndon and Nyldon words are primitive and any primitive class of words contains an unique Lyndon and an unique Nyldon word. This property motivated the study of Lyndon partial word which is primitive but all primitive classes of partial words may not contain a Lyndon partial word. In this paper we introduce two variants of Lyndon partial words namely Nyldon and inverse Lyndon partial words which are constructed from the decreasing alphabetical order. We compare the properties of the variants with those of Lyndon partial words. © (2024), (International Association of Engineers). All Rights Reserved.
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页码:282 / 291
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