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A palindrome is a string that reads the same backward as forward. We consider gapped palindromes which are words of the form uvũ for some words u, v with |v| ≥ 2 and where ũ denotes the reversal of u. Mimicking the standard notion of string exponent, we define the anti-exponent of a gapped palindrome uvũ as the quotient of |uvũ| over |uv|. We apply techniques based on the suffix automaton and the...
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