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Ba, Te; Li, Shengyu; Xu, Yaping
Journal of mathematical analysis and applications, 08/2024, Letnik: 536, Številka: 2Journal Article
We introduce a generalized combinatorial Ricci flow on surfaces of finite topological type. Using a Lyapunov function, we prove that the flow exists for all time and converges to a circle pattern metric on surfaces with prescribed curvatures. This suggests an algorithm to find circle patterns on surfaces with obtuse exterior intersection angles. As a comparison, this flow has the advantage of accelerating the convergence rate.
