10 citations · 20 across the 6 of their papers we have counts for
8 papers
Elementary elliptic -polycycles
Michel Deza, Mathieu Dutour, Mikhail Shtogrin
We consider the following generalization of the decomposition theorem for polycycles. A {\em -polycycle} is, roughly, a plane graph, whose faces, besides some disjoint {\em…
Zigzag structure of complexes
Michel Deza, Mathieu Dutour
Inspired by Coxeter's notion of Petrie polygon for -polytopes (see \cite{Cox73}), we consider a generalization of the notion of zigzag circuits on complexes and compute the zigz…
Adjacency method for extreme Delaunay polytopes
Mathieu Dutour
The {\em hypermetric cone} is defined as the cone of semimetrics satisfying the {\em hypermetric inequalities}. Every {\em Delaunay polytope} corresponds to a ray of this polyhedra…
Some six-dimensional rigid forms
Mathieu Dutour, Frank Vallentin
One can always decompose Dirichlet-Voronoi polytopes of lattices non-trivially into a Minkowski sum of Dirichlet-Voronoi polytopes of rigid lattices. In this report we show how one…
On simplicial and cubical complexes with short links
Michel Deza, Mathieu Dutour, Mikhail Shtogrin
We consider closed simplicial and cubical -complexes in terms of link of their -faces. Especially, we consider the case, when this link has size 3 or 4, i.e., every $(n-2…
Infinite serie of extreme Delaunay polytopes
M. Dutour
A Delaunay polytope is said to be {\em extreme} if the only (up to isometries) affine bijective transformations of , for which is again a Delaunay polytope, ar…