M. Shtogrin

activity

19992011

most citedFullerene-like spheres with faces of negative curvature

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.CO2011★ 1 cited

Fullerene-like spheres with faces of negative curvature

Mathieu Dutour Sikiric, Michel Deza, Mikhail Shtogrin

Given R\subset N, an (R,k) $- s p h er e i s ak - r e g u l a r ma p o n t h es p h er e w h ose f a ces ha v e g o na l i t i es i \in R . T h e m os t in t er es t in g / u se f u l a r e (g eo m e t r i c) f u l l er e n es, i . e ., ({5, 6}, 3)$ -s…

math.CO2005

Elementary elliptic $(R, q)$ -polycycles

Michel Deza, Mathieu Dutour, Mikhail Shtogrin

We consider the following generalization of the decomposition theorem for polycycles. A {\em $(R, q)$ -polycycle} is, roughly, a plane graph, whose faces, besides some disjoint {\em…

math.GT2003

On simplicial and cubical complexes with short links

Michel Deza, Mathieu Dutour, Mikhail Shtogrin

We consider closed simplicial and cubical $n$ -complexes in terms of link of their $(n - 2)$ -faces. Especially, we consider the case, when this link has size 3 or 4, i.e., every $(n-2…

math.MG1999

Embedding of regular tilings and star-honeycomb

M. Deza, M. I. Shtogrin

We review the regular tilings of d-sphere, Euclidean d-space, hyperbolic d-space and Coxeter's regular hyperbolic honeycombs (with infinite or star-shaped cells or vertex figures)…

Fullerene-like spheres with faces of negative curvature

Elementary elliptic (R,q)-polycycles

On simplicial and cubical complexes with short links

Embedding of regular tilings and star-honeycomb

Elementary elliptic $(R, q)$ -polycycles