Lattice points in Minkowski sums

被引：0

作者：

Haase, Christian ^{[1
]}

Nill, Benjamin ^{[1
]}

Paffenholz, Andreas ^{[1
]}

Santos, Francisco ^{[2
]}

机构：

[1] Inst Matemat, D-14195 Berlin, Germany

[2] Univ Cantabria, Fac Ciencias, E-39005 Santander, Spain

来源：

ELECTRONIC JOURNAL OF COMBINATORICS | 2008年 / 15卷 / 01期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：5

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