SUBWORD COMPLEXITY OF A GENERALIZED THUE-MORSE WORD

被引：10

作者：

TROMP, J ^{[1
]}

SHALLIT, J ^{[1
]}

机构：

[1] UNIV WATERLOO,DEPT COMP SCI,WATERLOO,ON N2L 3G1,CANADA

来源：

INFORMATION PROCESSING LETTERS | 1995年 / 54卷 / 06期

基金：

加拿大自然科学与工程研究理事会;

关键词：

FORMAL LANGUAGES; SUBWORD COMPLEXITY; THUE-MORSE WORD;

D O I：

10.1016/0020-0190(95)00074-M

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Let y = y(0)y(1)y(2) ... be an infinite word over a finite alphabet, and let p(y)(r) count the number of distinct subwords of y of length r. In this paper we determine p(y)(r) when y(i) = s2(i) mod k, where s2(i) denotes the sum of the base-2 digits of i. Our method is based on determining the redundancy of a certain code for subwords of a related infinite word.

引用

页码：313 / 316

页数：4

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