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math.CO2000
Small cones of m-hemimetrics
M. Deza, I. Rosenberg
We introduce polyhedral cones associated with -hemimetrics on points, and, in particular, with -hemimetrics coming from partitions of an -set into blocks. We com…
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…