On the deformation of discrete conformal factors on surfaces
  In \cite{Luo0}, Feng Luo conjectured that the discrete Yamabe flow will converge to the constant curvature PL-metric after finite number of surgeries on the triangulation. In this paper, we prove that the flow can always be extended (without surgeries) to a solution that converges exponentially fast to the constant curvature PL-metric. 
Huabin Ge, Wenshuai Jiang
math.GT math.DG