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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.SP2024
Random eigenvalues of nanotubes
Artur Bille, Victor Buchstaber, Pavel Ievlev +2
The hexagonal lattice and its dual, the triangular lattice, serve as powerful models for comprehending the atomic and ring connectivity, respectively, in \textit{graphene} and \tex…