2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/96424We consider the self organizing process of merging and regeneration of vertices in complex networks and demonstrate that a scale-free degree distribution emerges in a steady state of such a dynamics. The merging of neighbor vertices in a network may be viewed as an optimization of efficiency by minimizing redundancy. It is also a mechanism to shorten the distance and thus decrease signaling times between vertices in a complex network. Thus the merging process will in particular be relevant for networks where these issues related to global signaling are of concern.Adaptation and Self-Organizing SystemsDisordered Systems and Neural Networkstext