In 5, Bowers and Stephenson introduced the notion of inversive distance circle packings as a natural generalization of Thurston's circle packings 29. They further conjectured that discrete conformal maps induced by inversive distance circle packings converge to the Riemann mapping. In this paper, we prove Bowers-Stephenson's conjecture for Jordan domains by establishing a solvability theorem of certain prescribing combinatorial curvature problems for inversive distance circle packings.
Chen et al. (Thu,) studied this question.