Extremal Infinite Overlap-Free Binary Words
Extremal Infinite Overlap-Free Binary Words
复制标题
极值无限无重叠二进制词
DOI：
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发表时间：
1998
影响因子：
0.7
通讯作者：
J. Shallit
中科院分区：
文献类型：
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作者：
J. Allouche;J. Currie;J. Shallit
设t是态射的内点，从1开始：0！01，1！10。一个内点单词overf0；1g，如果它不包含形式为axaxa的因子，则称它是无重叠的，其中a2f0；1g和x2f0；1g。我们证明了以任意Prex开头的词典序最小本征无重叠二进制字，如果它存在，则有一个Sux，它是t的Sux。特别地，词典序最小本原无重叠二进制字是001001t。
Let t be the innite xed point, starting with 1, of the morphism :0 !01, 1! 10. An innite word overf0; 1g is said to be overlap-free if it contains no factor of the form axaxa, where a2f 0 ; 1gand x2f 0 ; 1g. We prove that the lexicographically least innite overlap-free binary word beginning with any specied prex, if it exists, has a sux which is a sux of t. In particular, the lexicographically least innite overlap-free binary word is 001001t.