Preferential attachment scale-free growth model with random fitness
  We introduce a network growth model in which the preferential attachment probability includes the fitness vertex and the Euclidean distance between nodes. We grow a planar network around its barycenter. Each new site is fixed in space by obeying a power law distribution. 
Marcelo D. S. de Meneses, Sharon D. da Cunha, D. J. B. Soares and L.   R. da Silva