The words 0011 and 001011 are claimed to be the shortest 'interesting' binary words, illustrated through many existing and a few new results.
On the Combinatorics of Palindromes and Antipalindromes
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abstract
We prove a number of results on the structure and enumeration of palindromes and antipalindromes. In particular, we study conjugates of palindromes, palindromic pairs, rich words, and the counterparts of these notions for antipalindromes.
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The Shortest Interesting Binary Words
The words 0011 and 001011 are claimed to be the shortest 'interesting' binary words, illustrated through many existing and a few new results.