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Archetypal Energy Landscapes

To construct a disconnectivity graph, at a series of energy levels we divide the minima into sets which are connected by paths that never exceed that energy level. Each set is represented by a node at that level and lines connect a node to the sets at higher and lower energy which contain the minima corresponding to that node. This is easier to understand by inspecting the graphs or `trees' associated with the archetypal one-dimensional potentials shown below.

The three graphs resemble a weeping willow, a palm tree and a banyan tree, respectively.


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