Circular words and applications

被引:4
|
作者
Rittaud, Benoit [1 ]
Vivier, Laurent [2 ]
机构
[1] Univ Paris 13, Inst Galilee, Lab Analyse Geomet & Applicat, 99 Ave Jean Baptiste Clement, F-93430 Villetaneuse, France
[2] Univ Paris Diderot, Lab Didact Andre Revuz, F-75205 Paris 13, France
关键词
D O I
10.4204/EPTCS.63.6
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We define the notion of circular words, then consider on such words a constraint derived from the Fibonacci condition. We give several results on the structure of these circular words, then mention possible applications to various situations: periodic expansion of numbers in numeration systems, "gcd-property" of integer sequences, partition of the prefix of the fixed point of the Fibonacci substitution, spanning trees of a wheel. Eventually, we mention some open questions.
引用
收藏
页码:31 / 36
页数:6
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