Unambiguous morphic images of strings
Dominik Freydenberger
Daniel Reidenbach
Johannes C. Schneider
2134/3489
https://repository.lboro.ac.uk/articles/journal_contribution/Unambiguous_morphic_images_of_strings/9403250
Motivated by the research on pattern languages, we study a fundamental combinatorial question on morphisms in free semigroups: With regard to any string α over some alphabet we ask for the existence
of a morphism σ such that σ(α) is unambiguous, i.e. there is no morphism ρ with ρ ≠ σ and ρ(α) = σ(α). Our main result shows that a rich and natural class of strings is provided with unambiguous morphic images.
2008-07-25 07:42:40
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Information and Computing Sciences not elsewhere classified