Abstract
We show that the analogue of Hamilton's Ricci flow in the combinatorial setting produces solutions which converge exponentially fast to Thurston's circle packing on surfaces. As a consequence, a new proof of Thurston's existence of circle packing theorem is obtained. As another consequence, Ricci flow suggests a new algorithm to find circle packings.
Bennett Chow. Feng Luo. "Combinatorial Ricci Flows on Surfaces." J. Differential Geom. 63 (1) 97 - 129, January, 2003. https://doi.org/10.4310/jdg/1080835659
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