English

Balanced Circle Packings for Planar Graphs

Computational Geometry 2014-08-22 v1

Abstract

We study balanced circle packings and circle-contact representations for planar graphs, where the ratio of the largest circle's diameter to the smallest circle's diameter is polynomial in the number of circles. We provide a number of positive and negative results for the existence of such balanced configurations.

Keywords

Cite

@article{arxiv.1408.4902,
  title  = {Balanced Circle Packings for Planar Graphs},
  author = {Md. Jawaherul Alam and David Eppstein and Michael T. Goodrich and Stephen G. Kobourov and Sergey Pupyrev},
  journal= {arXiv preprint arXiv:1408.4902},
  year   = {2014}
}
R2 v1 2026-06-22T05:35:21.781Z