Balanced circle packings for planar graphs

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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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Alam, M. J., Eppstein, D., Goodrich, M. T., Kobourov, S. G., & Pupyrev, S. (2014). Balanced circle packings for planar graphs. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 8871, 125–136. https://doi.org/10.1007/978-3-662-45803-7_11

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