From unweighted to weighted generalized Farey organized tree and the pyramid networks

Generalized Farey tree network (GFTN) and generalized Farey organized pyramid network (GFOPN) model are proposed, and their topological characteristics are studied by both theoretical analysis and numerical simulations, which are in good accordance with each other. Then weighted GFTN is studied using cumulative distributions of its Farey number value, edge weight, and node strength. These results maybe helpful for future theoretical development of hybrid models.