Prague Stringology Conference 2010

Kazuhiko Kusano and Ayumi Shinohara

Average Number of Runs and Squares in Necklace

Abstract:
A repetition is an important property of a string. In this paper we consider the average number of occurrences of primitively rooted repetitions in necklace. First, we define circular square and circular run for a string and show the average number of them. Using these results, we obtain the average number of squares, the average number of runs and the average sum of exponents of runs in a necklace, exactly.

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