The relationship between the length of a word and the maximum length of its unbordered factors is investigated in this article. Consider a finite word <i>w</i> of length <i>n</i>. We call a word <i>bordered</i> if it has a proper prefix, which is also a suffix of that word. Let μ(<i>w</i>) denote the maximum length of all unbordered factors of <i>w</i… (More)
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