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math.CO2018★ 2 cited
Palindromes in starlike trees
Amy Glen, Jamie Simpson, W. F. Smyth
In this note, we obtain an upper bound on the maximum number of distinct non-empty palindromes in starlike trees. This bound implies, in particular, that there are at most dis…
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…