Extremal Infinite Overlap-Free Binary Words
نویسندگان
چکیده
منابع مشابه
Extremal Infinite Overlap-Free Binary Words
Let t be the infinite fixed point, starting with 1, of the morphism μ : 0 → 01, 1→ 10. An infinite word over {0, 1} is said to be overlap-free if it contains no factor of the form axaxa, where a ∈ {0, 1} and x ∈ {0, 1}∗. We prove that the lexicographically least infinite overlap-free binary word beginning with any specified prefix, if it exists, has a suffix which is a suffix of t. In particula...
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Let t be the innnite xed point, starting with 1, of the morphism : 0 ! 01, 1 ! 10. An innnite word over f0;1g is said to be overlap-free if it contains no factor of the form axaxa, where a 2 f0;1g and x 2 f0;1g. We prove that the lexicographically least innnite overlap-free binary word beginning with any speciied preex, if it exists, has a suux which is a suux of t. In particular, the lexicogra...
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ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 1998
ISSN: 1077-8926
DOI: 10.37236/1365