2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/18831Here we analyze the topology of the network formed by the minima and transition states on the potential energy landscape of small clusters. We find that this network has both a small-world and scale-free character. In contrast to other scale-free networks, where the topology results from the dynamics of the network growth, the potential energy landscape is a static entity. Therefore, a fundamentally different organizing principle underlies this behaviour: The potential energy landscape is highly heterogeneous with the low-energy minima having large basins of attraction and acting as the highly-connected hubs in the network.4 pages, 4 figures, revtex4Condensed MatterAtomic and Molecular Clusterstext