Before revision: In the mathematical study of reaction networks, the most classical results are those pertaining to models that have a deficiency of zero, which, loosely, is a linear independence property of the associated reaction vectors. In particular, the classical results for deterministic models, which date back to the early 1970s, focus on models with a deficiency of zero andconnect them to detailed-balanced models. Moreover, the largest open conjecture related to deterministic models, the so-called Global Attractor Conjecture, focuses on models with a deficiency of zero.
After revision: Reaction networks are commonly used within the mathematical biology and mathematical chemistry communities to model the dynamics of interacting species. These models differ from the typical graphs found in random graph theory since their vertices are constructed from elementary building blocks, i.e., the so-called Global Attractor Conjecture, focuses on models with a deficiency of zero.