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math.GT2003
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…
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.GT2000
Quadratic forms of rank 1, closed zones and laminae
Michel Deza, Viatcheslav Grishukhin
For a given lattice, we establish an equivalence involving a closed zone of the corresponding Voronoi polytope, a lamina hyperplane of the corresponding Delaunay partition and a qu…