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math.MG2001
Small cones of oriented semi-metrics
M. Deza, M. Dutour, E. Panteleeva
We consider polyhedral cones, associated with quasi-semi-metrics (oriented distances), in particular, with oriented multi-cuts, on n points. We computed the number of facets and of…
math.MG1999
Uniform partitions of 3-space, their relatives and embedding
M. Deza, M. I. Shtogrin
We review 28 uniform partitions of 3-space in order to find out which of them have graphs (skeletons) embeddable isometrically (or with scale 2) into some cubic lattice …