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.
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页码：99 / 125
页数：26
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