کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6874148 1441025 2018 4 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Algorithms for anti-powers in strings
ترجمه فارسی عنوان
الگوریتم های ضد قدرت در رشته ها
کلمات کلیدی
ضد قدرت، الگوریتم ها، ترکیبیات بر روی کلمات،
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نظریه محاسباتی و ریاضیات
چکیده انگلیسی
A string S[1,n] is a power (or tandem repeat) of order k and period n/k if it can be decomposed into k consecutive equal-length blocks of letters. Powers and periods are fundamental to string processing, and algorithms for their efficient computation have wide application and are heavily studied. Recently, Fici et al. (Proc. ICALP 2016) defined an anti-power of order k to be a string composed of k pairwise-distinct blocks of the same length (n/k, called anti-period). Anti-powers are a natural converse to powers, and are objects of combinatorial interest in their own right. In this paper we initiate the algorithmic study of anti-powers. Given a string S, we describe an optimal algorithm for locating all substrings of S that are anti-powers of a specified order. The optimality of the algorithm follows form a combinatorial lemma that provides a lower bound on the number of distinct anti-powers of a given order: we prove that a string of length n can contain Θ(n2/k) distinct anti-powers of order k.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Information Processing Letters - Volume 137, September 2018, Pages 57-60
نویسندگان
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