Generalized balances in Sturmian words

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Generalized balances in Sturmian words

One of the numerous characterizations of Sturmian words is based on the notion of balance. An innnite word x on the f0;1g alphabet is balanced if, given two factors of x, w and w 0 , having the same length, the diierence between the number of 0 0 s in w (denoted by jwj0) and the number of 0 0 s in w 0 is at most 1, i.e. jjwj0 ? jw 0 j0j 1. It is well known that an aperiodic word is Sturmian if ...

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ژورنال

عنوان ژورنال: Discrete Applied Mathematics

سال: 2002

ISSN: 0166-218X

DOI: 10.1016/s0166-218x(01)00247-5