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arXiv · 1408.4902

Balanced Circle Packings for Planar Graphs

Md. Jawaherul Alam·David Eppstein·Michael T. Goodrich·Stephen G. Kobourov·Sergey Pupyrev
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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.

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Md. Jawaherul Alam, David Eppstein, Michael T. Goodrich, Stephen G. Kobourov, Sergey Pupyrev. 2014-08-21. Balanced Circle Packings for Planar Graphs. https://arxiv.org/abs/1408.4902

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