2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106998We 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.7 pages, 6 figures. To appear in Progress of Theoretical Physics Supplement - JapanStatistical Mechanicstext