When templates are viable and accurately describe the reactivity in a system, they can be used to approximate reaction kinetics with minimal cost. In a template-free network of potentially millions of reactions, it is completely impossible to include accurate rate coefficients for all reactions. For the purposes of stochastic network exploration and analysis, we therefore assign rate coefficients by fiat. All unimolecular reactions are given the same rate coefficient k 0 ; to ensure appropriate units, all bimolecular reactions have the rate coefficient k 0 /V , where V is a spatial term related to the (in this case fictitious) system volume. A critical note: Most commonly, the Gillespie algorithm and kMC are used to study the time evolution of a reacting system. In such a case, the use of fiat rate coefficients would be inappropriate, as it likely would not lead to even qualitatively accurate dynamics. However, in this work we are not interested in reactive time evolution. Rather, as we discuss below, we use the Gillespie method in a somewhat unorthodox manner to obtain nondynamic insights into reactivity, focusing mainly on which reactions proceed (without concern for how quickly they proceed or when they proceed in time) and which species form (without concern for quantitatively accurate ratios of products, which would require a notion of relative rates). Given sufficient sampling, all reactions included in the network that would occur given accurate kinetics will be observed in kMC simulations with fixed rate coefficients. In sum, because our aims do not include accurate time evolution or quantitative competition between possible products, we can employ kMC with arbitrary rate coefficients. We further note that the analysis of CRNs without kinetic information is not without precedent; for instance, Stocker et al. have previously used reaction thermodynamics and arbitrary energy barriers to explore a CRN describing combustion.