10 citations · 41 across the 14 of their papers we have counts for
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math.CO2004★ 10 cited
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…
math.MG2004★ 4 cited
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…
math.MG2004★ 6 cited
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…