A note on easy and efficient computation of full abelian periods of a word

Constantinescu and Ilie (2006) introduced the idea of an Abelian period with head and tail of a finite word. An Abelian period is called full if both the head and the tail are empty. We present a simple and easy-to-implement O(nloglogn)-time algorithm for computing all the full Abelian periods of a word of length n over a constant-size alphabet. Experiments show that our algorithm significantly outperforms the O(n) algorithm proposed by …