  Here 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.
