A Symmetry Property of Christoffel Words

Published 24 Jun 2024 in math.CO and cs.CL | (2406.16408v1)

Abstract: Motivated by the theory of trapezoidal words, whose sequences of cardinality of factors by length are symmetric, we introduce a bivariate variant of this symmetry. We show that this symmetry characterizes Christoffel words, and establish other related results.

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