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math.MG2002
Once more about Voronoi's conjecture and space tiling zonotopes
Michel Deza, Viacheslav Grishukhin
Voronoi conjectured that any parallelotope is affinely equivalent to a Voronoi polytope. A parallelotope is defined by a set of facet vectors and defines a set of lat…
math.GT2002
Non-rigidity degrees of root lattices and their duals
Michel Deza, Viacheslav Grishukhin
Non-rigidity degree of a lattice , nrd, is dimension of the L-type domain to which belongs. We complete here the table of nrd's of all root lattices and their duals; name…
math.MG2002
Data mining for cones of metrics, quasi-metrics, hemi-metrics and super-metrics
M. Deza, M. Dutour
Using some adaptations of the adjacency decomposition method \cite{CR} and the program {\it cdd} (~\cite{Fu}), we compute the first computationally difficult cases of convex cones…