2 papers
math.GT2020
On correlation of hyperbolic volumes of fullerenes with their properties
Andrey Egorov, Andrei Vesnin
We observe that fullerene graphs are one-skeletons of polyhedra, which can be realized with all dihedral angles equal to in a hyperbolic 3-dimensional space. One of the most…
math.GR2020
Representations of flat virtual braids which do not preserve the forbidden relations
V. Bardakov, B. Chuzhinov, I. Emel'yanenkov +8
In the paper, we construct a representation of the flat virtual braid group on strands by automorphisms of the free group with $2…