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On the Combinatorics of Palindromes and Antipalindromes

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arxiv 1503.09112 v1 pith:42FQPH6U submitted 2015-03-31 cs.FL

classification cs.FL
keywords antipalindromespalindromescombinatoricsconjugatescounterpartsenumerationnotionsnumber
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On the Complexity of Language Membership for Probabilistic Words

    cs.FL 2025-10 conditional novelty 7.0 of 10

    Probabilistic membership for context-free languages is in PTIME for unambiguous and poly-slicewise-unambiguous languages, #P-hard for some unions of two linear unambiguous CFLs, and tractable via complement-capable ci...

  2. The Shortest Interesting Binary Words

    math.CO 2024-12 conditional novelty 3.0 of 10

    The words 0011 and 001011 are claimed to be the shortest 'interesting' binary words, illustrated through many existing and a few new results.

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