8 citations · 8 across the 4 of their papers we have counts for
5 papers
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…
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…
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…
Automated Remote Sensing Forest Inventory Using Satellite Imagery
Abduragim Shtanchaev, Artur Bille, Olga Sutyrina +1
For many countries like Russia, Canada, or the USA, a robust and detailed tree species inventory is essential to manage their forests sustainably. Since one can not apply unmanned…
Spectral clustering of combinatorial fullerene isomers based on their facet graph structure
Artur Bille, Victor Buchstaber, Evgeny Spodarev
After Curl, Kroto and Smalley were awarded 1996 the Nobel Prize in chemistry, fullerenes have been subject of much research. One part of that research is the prediction of a fuller…