On the perimeter of k pairwise disjoint convex bodies contained in a convex set in the plane

被引：0

作者：

Rom Pinchasi

机构：

[1] Mathematics Department Technion—Israel Institute of Technology,

来源：

Combinatorica | 2017年 / 37卷

关键词：

52A10; 52A38;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove the following isoperimetric inequality in R2, conjectured by Glazyrin and Morić. Given a convex body S and k pairwise disjoint convex bodies C1,...,Ck that are contained in S, then Σi=1kPer(Ci)≤Per(S)+2(k—1)Diam(S). Here Per(.) denotes the perimeter of a set and Diam(.) is the diameter of a set.

引用

页码：99 / 125

页数：26

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