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math.CO2022★ 1 cited
An upper bound on asymptotic repetitive threshold of balanced sequences via colouring of the Fibonacci sequence
Lubomíra Dvořáková, Edita Pelantová
We colour the Fibonacci sequence by suitable constant gap sequences to provide an upper bound on the asymptotic repetitive threshold of -ary balanced sequences. The bound is att…
math.CO2022
Asymptotic repetitive threshold of balanced sequences
Lubomíra Dvořáková, Daniela Opočenská, Edita Pelantová
The critical exponent of an infinite sequence over a finite alphabet expresses the maximal repetition of a factor in . By the famous Dejean's…