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math.MG2007
Hyperplane Arrangements with Large Average Diameter
Antoine Deza, Feng Xie
The largest possible average diameter of a bounded cell of a simple hyperplane arrangement is conjectured to be not greater than the dimension. We prove that this conjecture holds…
math.MG2007★ 1 cited
The complexity of the envelope of line and plane arrangements
David Bremner, Antoine Deza, Feng Xie
A facet of an hyperplane arrangement is called external if it belongs to exactly one bounded cell. The set of all external facets forms the envelope of the arrangement. The number…