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
收藏
页码：313 / 316
页数：4
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