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math.MG2018
On the Voronoi Conjecture for combinatorially Voronoi parallelohedra in dimension five
Mathieu Dutour Sikirić, Alexey Garber, Alexander Magazinov
In a recent paper Garber, Gavrilyuk and Magazinov proposed a sufficient combinatorial condition for a parallelohedron to be affinely Voronoi. We show that this condition holds for…
math.MG2015
The hypermetric cone on vertices and some generalizations
Michel Deza, Mathieu Dutour Sikirić
The lists of facets -- in orbits -- and of extreme rays -- in orbits -- of the hypermetric cone are computed. The first generalization…