44 citations · 182 across the 28 of their papers we have counts for
32 papers
A non-lattice periodic point set beating the optimal lattice packing-covering constant in dimension five
Sven Ahrend, Mathieu Dutour Sikirić
The packing-covering constant of a point set is , the covering radius divided by the packing radius. Among lattices, its minimum is k…
The Birkhoff polytope of the groups and
Mathieu Dutour Sikiric
We compute the set of facets of the polytope which is the convex hull of the Coxeter groups or : For the group we found orbits of fa…
The joint weight enumerator of an LCD code and its dual
Adel Alahmadi, Michel Deza, Mathieu Dutour Sikirić +1
A binary linear code is called {\em LCD} if it intersects its dual trivially. We show that the coefficients of the joint weight enumerator of such a code with its dual satisfy line…
Hypercube emulation of interconnection networks topologies
Adel Alahmadi, Husain Alhazmi, Shakir Ali +3
We address various topologies (de Bruijn, chordal ring, generalized Petersen, meshes) in various ways ( isometric embedding, embedding up to scale, embedding up to a distance) in a…
The seven dimensional perfect Delaunay polytopes and Delaunay simplices
Mathieu Dutour Sikiric
For a lattice of , a sphere of center and radius is called {\em empty} if for any we have . Then the set …
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 edges, including , , $K_{1,4,4…