Bipartite graph oxidation

Fig. 3. Bipartite graphs for the mechanism of CO oxidation on Pt. (a) Eley-Rideal (impact) mechanism (b) Langmuir-Hinshelwood (adsorption) mechanism.

We will consider simple examples, i.e. the Eley-Rideal and Langmuir-Hinshelwood mechanisms for CO oxidation on Pt. Bipartite graphs corresponding to these mechanisms are represented in Fig. 3. In accordance with the general scheme, let us list segments, paths and cycles of these graphs. 

As an example of this sort of bipartite graph, let us again consider the electrochemical oxidation of hydrogen the elementary steps are given in (1). A bipartite graph for this reaction is given in Figure 3. 

Figure 3. Bipartite graph for the electrochemical oxidation of hydrogen disk-nodes represent individual species, square-nodes represent reaction steps. A directed edge connects a disk-node to a square-node when species represented by the disk-node is a reactant in the reaction step represented by the square-node. On the other hand, a directed edge connects a square-node to a disk-node when species represented by the disk-node is a product in the reaction step represented by the square-node.

Bipartite graphs for the oxidation of CO on Pt (A) Eley-Rideal mechanism and (B) Langmuir-Hinshelwood mechanism. 

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