On Infinite Prefix Normal Words

被引:2
|
作者
Cicalese, Ferdinando [1 ]
Liptak, Zsuzsanna [1 ]
Rossi, Massimiliano [1 ]
机构
[1] Univ Verona, Dipartimento Informat, Str Grazie 15, I-37134 Verona, Italy
关键词
Combinatorics on words; Prefix normal words; Infinite words; Sturmian words; Abelian complexity; Paperfolding word; Thue-Morse sequence; Lexicographic order; ABELIAN COMPLEXITY;
D O I
10.1007/978-3-030-10801-4_11
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Prefix normal words are binary words that have no factor with more 1s than the prefix of the same length. Finite prefix normal words were introduced in [Fici and Lipt ' ak, DLT 2011]. In this paper, we study infinite prefix normal words and explore their relationship to some known classes of infinite binary words. In particular, we establish a connection between prefix normal words and Sturmian words, between prefix normal words and abelian complexity, and between prefix normality and lexicographic order.
引用
收藏
页码:122 / 135
页数:14
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