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math.CO2024
Some open mathematical problems on fullerenes
Artur Bille, Victor Buchstaber, Evgeny Spodarev
Fullerenes are hollow carbon molecules where each atom is connected to exactly three other atoms, arranged in pentagonal and hexagonal rings. Mathematically, they can be combinator…
math.CO2020
Lower-bounds on the growth of power-free languages over large alphabets
Matthieu Rosenfeld
We study the growth rate of some power-free languages. For any integer and real , we let be the growth rate of the number of -free words of a given length over…