THE NUMBER OF MINIMAL WORD CHAINS COMPUTING THE THUE-MORSE WORD

被引：0
|
作者：
BOUSQUETMELOU, M
机构：
[1] LaBRI, Université Bordeaux I, 33405 Talence Cedex
来源：
INFORMATION PROCESSING LETTERS | 1992年 / 44卷 / 02期
关键词：
COMBINATORIAL PROBLEMS; INFINITE WORDS; WORD CHAINS;
D O I：
10.1016/0020-0190(92)90186-Y
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 SIGMA be the alphabet {a, b}, and phi the morphism of SIGMA* defined by phi(a) = ab and phi(b) = ba. The words phi(n)(a) are prefixes of the famous Thue-Morse word abbabaabbaababbab.... Arnold and Brlek proved that the minimal word chains computing phi(n)(a) have length 2n - 1. They also conjectured that the number of such chains was 19 if n greater-than-or-equal-to 3. We prove here this conjecture.
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页码：57 / 64
页数：8
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