2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127182The celebrated Thistlethwaite theorem relates the Jones polynomial of a link with the Tutte polynomial of the corresponding planar graph. We give a generalization of this theorem to virtual links. In this case, the graph will be embedded into a (higher genus) surface. For such graphs we use the generalization of the Tutte polynomial discovered by B.Bollobas and O.Riordan.7 pages, many figuresGeometric TopologyCombinatorics57M15, 57M27, 05C10, 05C22text