The possible values that the measures can take, given random conditions, are summarized as boxplots in Fig. and Fig. . The distributions for cci and bci based on the null model are compared with the values obtained for G2 to determine if its node occurs within the 25th-75th percentile of the randomized networks (i.e., a typical value, depicted as a grey circle). A typical value indicates that the properties of the node would also appear if the CRN was driven by random processes. On the other hand, a node that is not within the 25th-75th percentile (i.e., an atypical value, depicted as a red circle) indicates that their properties are different from an otherwise randomly assembled CRN. For the clustering coefficient, we found that only 7 appears to be atypical (Fig. ) and for the betweenness centrality, 3, 5, 7, 8 and 9 all appear atypical (Fig. ). The nodes 10-12 are excluded from this analysis as they did not contribute to the overall dynamics of the system. Hence, we identified the relevant set of nodes for the graph-based analysis of the enzymatic oscillator under out-of-equilibrium conditions. That is, for further analysis of the cluster coefficient there is only one relevant node (7) and for the betweenness centrality there are five nodes from which we can choose (3, 5, 7, 8 and 9).