Graph-based analyses are widely used in literature for basic characterization of networks of any kind but have rarely been applied to synthetically-designed chemical reaction networks (CRNs). We have developed a method to characterize synthetically-designed CRNs, which we demonstrated based on an existing enzymatic network. The method comprises four steps: (I) Represent a CRN as a graph to model the interactions as edges. (II) Apply network measures to provide the key characteristics of the structure underlying the CRN. (III) Identify the crucial nodes in the network using a random graph null model. (IV) Perform temporal analysis on the graph to reveal the evolution of the structure over time. The integration of the expertises in system chemistry and random graph analysis ensured that the translation from a reaction scheme that defines the CRN into a graph as well as the opposite translation-from network measures into the chemical functioning of the CRN-was executable.