Graph colours and kinetic equation structure

The brutto-equation depends on the structure of the kinetic equation and its parameters. In Sect. 2.3 we have already spoken about cyclic characteristics in the numerator of the steady-state kinetic eqn. (46). It is the kinetic equation of the brutto-reaction as if it were a simple step. The form of the cyclic characteristics is independent of the detailed mechanism. But under 

It has already been shown that the denominator of eqn. (46) contains weights of three types of spanning trees direct, inverse, and mixed. Every spanning tree has its own concentration characteristics and its own colour. In the previous section, the problem of determining the number of independent parameters was associated with estimating the number of variously coloured spanning trees. 

As an example, let us consider the catalytic conversion of methane [51] with the brutto-equation 

among the direct spanning trees there will be spanning trees of two colours, i.e. their number will be exactly equal to that of the initial substances. There will be one more two-coloured spanning tree formed due to the fact that the reaction sequence includes a reaction that does not involve the participation of the observed substance. A sum of the weights of direct spanning trees can be written as 

The complex K3 is non-Arrhenius and is the sum of three products. The reason for this is that the brutto-equation involves three molecules of H2, and the three steps of the detailed mechanism must be subject to the same type of kinetic law. It is due to this fact that such spanning trees appear. 

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