Detailed description of each case for the 3-state model.

The first seven cases correspond to the chain that has the third state observable (see Fig 3). The last five cases have the middle state as the observable state. Transition rates αk for k = 1, 2, 3, 4 are given by columns 3-6. The final column shows the characterization of each case into one of six different types determined by their edge importance graph as a function of parameter α (see right most column in Figs 5 and 6).