31 citations · 119 across the 24 of their papers we have counts for
25 papers
Upper bounds for volumes of generalized hyperbolic polyhedra and hyperbolic links
Andrey Egorov, Andrei Vesnin
A polyhedron in a three-dimensional hyperbolic space is said to be generalized if finite, ideal and truncated vertices are admitted. In virtue of Belletti's theorem (2021) the exac…
On quasi-arithmeticity of hyperbolic gluings
Nikolay Bogachev, Dmitry Guschin, Andrei Vesnin
We study a more general version of the gluings of hyperbolic orbifolds in the spirit of Gromov and Piatetski-Shapiro, where the gluing pieces, called the building blocks, are no lo…
On volumes of hyperbolic right-angled polyhedra
Stepan Alexandrov, Nikolay Bogachev, Andrei Egorov +1
In this paper we obtain new upper bounds on volumes of right-angled polyhedra in hyperbolic space in three different cases: for ideal polyhedra with all vertices on…
On the Wiener (r,s)-complexity of fullerene graphs
Andrey A. Dobrynin, Andrei Yu. Vesnin
Fullerene graphs are mathematical models of fullerene molecules. The Wiener -complexity of a fullerene graph with vertex set is the number of pairwise distinct va…
Volume estimates for right-angled hyperbolic polyhedra
A. Egorov, A. Vesnin
By Andreev theorem acute-angled polyhedra of finite volume in a hyperbolic space are uniquely determined by combinatorics of their 1-skeletons and dihedral angles.…
Ideal right-angled polyhedra in Lobachevsky space
A. Vesnin, A. Egorov
In this paper we consider a class of right-angled polyhedra in three-dimensional Lobachevsky space, all vertices of which lie on the absolute. New upper bounds on volumes in terms…