2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/174852In 1980's, Thurston established a combinatorial characterization for post-critically finite rational maps. This criterion was then extended by Cui, Jiang, and Sullivan to sub-hyperbolic rational maps. The goal of this paper is to present a new but simpler proof of this result by adapting the argument in the proof of Thurston's Theorem.27 pagesDynamical SystemsComplex Variables58F23;37F10text