2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/104290We study trade-offs presented by local search algorithms in complex networks which are heterogeneous in edge weights and node degree. We show that search based on a network measure, local betweenness centrality (LBC), utilizes the heterogeneity of both node degrees and edge weights to perform the best in scale-free weighted networks. The search based on LBC is universal and performs well in a large class of complex networks.14 pages, 5 figures, 4 tables, minor changes, added a referenceStatistical MechanicsDisordered Systems and Neural Networkstext