Abstract
Complex chemical reaction networks are most naturally represented as graphs that are bipartite (i.e. contain two classes of nodes for reactions and chemical species) and directed (i.e. have edges that point from reactants to reactions and reactions to products). Traditionally, the starting point in the network-theoretical analysis of chemical reaction systems has been the projection of this directed bipartite graph to an undirected unipartite graph containing only chemical species. We are developing projection-free methods for the analysis of complete bipartite directed networks which allow us to separate the roles of reactions and chemical species in determining large-scale graph structure.
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