Periodicity in rectangular arrays
نویسندگان
چکیده
منابع مشابه
Periodicity in Rectangular Arrays
We discuss several two-dimensional generalizations of the familiar Lyndon-Schützenberger periodicity theorem for words. We consider the notion of primitive array (as one that cannot be expressed as the repetition of smaller arrays). We count the number of m×n arrays that are primitive. Finally, we show that one can test primitivity and compute the primitive root of an array in linear time.
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String matching is rich with a variety of algorithmic tools. In contrast, multidimensional matching has had a rather sparse set of techniques. This paper presents a new algorithmic technique for two-dimensional matching: periodicity analysis. Its strength appears to lie in the fact that it is inherently two-dimensional. Periodicity in strings has been used to solve string matching problems. Mul...
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ژورنال
عنوان ژورنال: Information Processing Letters
سال: 2017
ISSN: 0020-0190
DOI: 10.1016/j.ipl.2016.09.011