کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4656533 1343442 2006 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Palindromic prefixes and episturmian words
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
Palindromic prefixes and episturmian words
چکیده انگلیسی

Let w be an infinite word on an alphabet A. We denote by (ni)i⩾1 the increasing sequence (assumed to be infinite) of all lengths of palindromic prefixes of w. In this text, we give an explicit construction of all words w such that ni+1⩽2ni+1 for all i, and study these words. Special examples include characteristic Sturmian words, and more generally standard episturmian words. As an application, we study the values taken by the quantity lim supni+1/ni, and prove that it is minimal (among all nonperiodic words) for the Fibonacci word.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Combinatorial Theory, Series A - Volume 113, Issue 7, October 2006, Pages 1281-1304