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math.MG2013
Voronoi Polytopes for Polyhedral Norms on Lattices
Michel Deza, Mathieu Dutour Sikirić
A polyhedral norm is a norm N on R^n for which the set N(x)\leq 1 is a polytope. This covers the case of the L^1 and L^{\infty} norms. We consider here effective algorithms for det…
math.MG2013
Closure of principal L-type domain and its parallelotopes
Mathieu Dutour Sikiric, Viacheslav Grishukhin
Voronoi defined two polyhedral partitions of the cone of se\mi\de\fi\nite forms into L-type domains and into perfect domains. Up to equivalence, there is only one domain that is si…