English

A remark on perimeter-diameter and perimeter-circumradius inequalities under lattice constraints

Metric Geometry 2013-10-25 v1

Abstract

In this note, we study several inequalities involving geometric functionals for lattice point-free planar convex sets. We focus on the previously not addressed cases perimeter--diameter and perimeter--circumradius.

Keywords

Cite

@article{arxiv.1310.6534,
  title  = {A remark on perimeter-diameter and perimeter-circumradius inequalities under lattice constraints},
  author = {Bernardo González Merino and Matthias Henze},
  journal= {arXiv preprint arXiv:1310.6534},
  year   = {2013}
}