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math.CO2017
More properties of the Fibonacci word on an infinite alphabet
Amy Glen, Jamie Simpson, W. F. Smyth
Recently the Fibonacci word on an infinite alphabet was introduced by [Zhang et al., Electronic J. Combinatorics 24-2 (2017) #P2.52] as a fixed point of the morphism $ϕ: (2i) \…
math.CO2017
Counting Lyndon factors
Amy Glen, Jamie Simpson, W. F. Smyth
In this paper, we determine the maximum number of distinct Lyndon factors that a word of length can contain. We also derive formulas for the expected total number of Lyndon fac…