Lattice points in Minkowski sums

Details Lattice points in Minkowski sums Lattice points in Minkowski sums

2007-11-28

arxiv.org/abs/0711.4393v1

Electron J. Combin. 15(1) 2008, Note 11, 5 pp

Mathematics

Combinatorics

5 pages, 4 figures

Scientific paper

Fakhruddin has proved that for two lattice polygons P and Q any lattice point
in their Minkowski sum can be written as a sum of a lattice point in P and one
in Q, provided P is smooth and the normal fan of P is a subdivision of the
normal fan of Q. We give a shorter combinatorial proof of this fact that does
not need the smoothness assumption on P.

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