2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/204767In a previous article we have show that there are difficulties in obtaining the correct graviton propagator from the loop-quantum-gravity dynamics defined by the Barrett-Crane vertex amplitude. Here we show that a vertex amplitude that depends nontrivially on the intertwiners can yield the correct propagator. We give an explicit example of asymptotic behavior of a vertex amplitude that gives the correct full graviton propagator in the large distance limit.16 pagesGeneral Relativity and Quantum Cosmologytext