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Balanced Circle Packings for Planar Graphs

2014/08/21 by Md. Jawaherul Alam, Alam, Md. Jawaherul, David Eppstein +7
Computer Science · Engineering · #Advanced Graph Theory Research #Computational Geometry (cs.CG) #Computational Geometry and Mesh Generation #FOS: Computer and information sciences #Structural Analysis and Optimization

paper · pdf · doi:10.48550/arxiv.1408.4902

openalex publication_date 2014/08/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

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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