Indeterminacy of parameters and graph structure

Let us consider a complex catalytic reaction following a multi-route linear mechanism, all steps of which are reversible. 

It is evident that spanning trees are individual only in the case where the reaction weights are different. For example, the two-route mechanism 

Here all spanning trees are also individual though some reaction weights are similar. It is evident that all individual spanning trees are of the Arrhenius type, and the similar spanning trees lead to the formation of non-Arrhenius complexes. On the basis of a steady-state kinetic experiment, the factors of the summands in the denominator of eqn. (46) are determined. They differ in their concentration characteristics. 

The number of the summands in eqn. (46) will give the number of the parameters under determination. Factors of these summands are the product of the reaction rate coefficients (Arrhenius complexes) or the sums of these products (non-Arrhenius complexes). 

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