A. Magazinov

activity

20102022

most citedTortured phrases: A dubious writing style emerging in science. Evidence of critical issues affecting established journals

187 citations · 232 across the 22 of their papers we have counts for

collaborators

Showing 2012Show all

3 papers · 1 filter

math.MG2012★ 12 cited

The Voronoi conjecture for parallelohedra with simply connected $δ$ -surface

Alexey Garber, Andrey Gavrilyuk, Alexander Magazinov

We show that the Voronoi conjecture is true for parallelohedra with simply connected $δ$ -surface. Namely, we show that if the boundary of parallelohedron $P$ remains simply connect…

math.MG2012★ 1 cited

On the sum of the Voronoi polytope of a lattice with a zonotope

Mathieu Dutour Sikiric, Viatcheslav Grishukhin, Alexander Magazinov

A parallelotope $P$ is a polytope that admits a facet-to-facet tiling of space by translation copies of $P$ along a lattice. The Voronoi cell $P_{V} (L)$ of a lattice $L$ is an exampl…

math.MG2012

An upper bound for a valence of a face in a parallelohedral tiling

Alexander Magazinov

Consider a face-to-face parallelohedral tiling of $R^{d}$ and a $(d - k)$ -dimensional face $F$ of the tiling. We prove that the valence of $F$ (i.e. the number of tiles contain…

The Voronoi conjecture for parallelohedra with simply connected δ-surface

On the sum of the Voronoi polytope of a lattice with a zonotope

An upper bound for a valence of a face in a parallelohedral tiling

The Voronoi conjecture for parallelohedra with simply connected $δ$ -surface