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Paper detail

Avoidance of split overlaps

We generalize Axel Thue's familiar definition of overlaps in words, and show that there are no infinite words containing split occurrences of these generalized overlaps. Along the way we prove a useful theorem about repeated disjoint occurrences in words -- an interesting natural variation on the classical de Bruijn sequences.

preprint2020arXivOpen access
Daniel GabricJeffrey Shallit
math.CODiscrete Mathematics
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Daniel GabricJeffrey Shallit

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