Abstract
We consider Sturmian trees as a natural generalization of Sturmian words. A Sturmian tree is a tree having n + 1 distinct subtrees of height n for each n. As for the case of words, Sturmian trees are irrational trees of minimal complexity. We give various examples of Sturmian trees, and we characterize one family of Sturmian trees by means of a structural property of their automata.
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Berstel, J., Boasson, L., Carton, O., Fagnot, I. (2007). A First Investigation of Sturmian Trees. In: Thomas, W., Weil, P. (eds) STACS 2007. STACS 2007. Lecture Notes in Computer Science, vol 4393. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70918-3_7
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DOI: https://doi.org/10.1007/978-3-540-70918-3_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-70917-6
Online ISBN: 978-3-540-70918-3
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