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A schematic view of a general network. The nodes represent individual states of the system and the arrows describe reversible transitions between states. The red vertex i is the initial state and the green vertexes jk (k = 0, 1, 2, 3) correspond to the final states investigated in this work. Other states are shown in blue. There are many different paths between the initial and any final state in this network, but the shortest path is always unique for this scheme.
