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- W2980628579 abstract "Consider k-binomial equivalence: two finite words are equivalent if they share the same subwords of length at most k with the same multiplicities. With this relation, the k-binomial complexity of an infinite word (mathbf {x}) maps the integer n to the number of pairwise non-equivalent factors of length n occurring in (mathbf {x}). In this paper based on the notion of template introduced by Currie et al., we show that, for all (kge 2), the k-binomial complexity of the Tribonacci word coincides with its usual factor complexity (p(n)=2n+1). A similar result was already known for Sturmian words, but the proof relies on completely different techniques that seemingly could not be applied for Tribonacci." @default.
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- W2980628579 date "2019-01-01" @default.
- W2980628579 modified "2023-09-24" @default.
- W2980628579 title "Templates for the k-Binomial Complexity of the Tribonacci Word" @default.
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- W2980628579 doi "https://doi.org/10.1007/978-3-030-28796-2_19" @default.
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