M. D. Sikiric

activity

20012026

most citedComplexity and algorithms for computing Voronoi cells of lattices

44 citations · 182 across the 28 of their papers we have counts for

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13 papers · 1 filter

math.CO2022

The Birkhoff polytope of the groups $F_{4}$ and $H_{4}$

Mathieu Dutour Sikiric

We compute the set of facets of the polytope which is the convex hull of the Coxeter groups $F_{4}$ or $H_{4}$ : For the group $F_{4}$ we found $2$ orbits of fa…

math.CO2015★ 1 cited

Enumeration of the facets of cut polytopes over some highly symmetric graphs

Michel Deza, Mathieu Dutour Sikiric

We report here a computation giving the complete list of facets for the cut polytopes over several very symmetric graphs with $15 - 30$ edges, including $K_{8}$ , $K_{3, 3, 3}$ , $K_{1,4,4…

math.CO2012★ 38 cited

Computing symmetry groups of polyhedra

David Bremner, Mathieu Dutour Sikiric, Dmitrii V. Pasechnik +2

Knowing the symmetries of a polyhedron can be very useful for the analysis of its structure as well as for practical polyhedral computations. In this note, we study symmetry groups…

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.CO2010

Plane square tilings

Mathieu Dutour Sikirić

We consider here square tilings of the plane. By extending the formalism introduced in [3] we build a correspondence between plane maps endowed with an harmonic vector and square t…