3 papers
math.SP2025
Random eigenvalues of graphenes and the triangulation of plane
Artur Bille, Victor Buchstaber, Simon Coste +2
We analyse the numbers of closed paths of length on two important regular lattices: the hexagonal lattice (also called in chemistry) and its du…
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…