Palindromes in circular words
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2014Type
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There is a very short and beautiful proof that the number of distinct nonempty palindromes in a word of length n is at most n. In this paper we show, with a very complicated proof, that the number of distinct nonempty palindromes with length at most n in a circular word of length n is less than 5n/3. For n divisible by 3 we present circular words of length n containing 5n/3 2 distinct palindromes, so the bound is almost sharp. The paper finishes with some open problems.
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Simpson, J. 2014. Palindromes in circular words. Theoretical Computer Science. 550: pp. 6678.
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Theoretical Computer Science
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Department of Mathematics and Statistics
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