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The complexity of finite smooth words over binary alphabets

cs.FL · 2026-03-11 · unverdicted · novelty 6.0

f-smooth words are precisely the factors of smooth words, with complexity growing as Θ(n^{log(a+b)/log((a+b)/2)}) proven for even alphabets, lower bound for all binary, and tighter upper bound for odd alphabets.

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  • The complexity of finite smooth words over binary alphabets cs.FL · 2026-03-11 · unverdicted · none · ref 23

    f-smooth words are precisely the factors of smooth words, with complexity growing as Θ(n^{log(a+b)/log((a+b)/2)}) proven for even alphabets, lower bound for all binary, and tighter upper bound for odd alphabets.