A linear equation for Minkowski sums of polytopes relatively in general position

Details A linear equation for Minkowski sums of polytopes relatively in general position A linear equation for Minkowski sums of polytopes relatively in general position

2007-11-30

arxiv.org/abs/0712.0027v2

Mathematics

Combinatorics

10 pages, accepted by Europ. J. Combinatorics

Scientific paper

The objective of this paper is to study a special family of Minkowski sums,
that is of polytopes relatively in general position. We show that the maximum
number of faces in the sum can be attained by this family. We present a new
linear equation that is satisfied by f-vectors of the sum and the summands. We
study some of the implications of this equation.

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