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Complex-Balanced Steady States of Chemical Reaction Networks that Contain an Eulerian Cycle
This work pertains to chemical reaction networks and their equilibria, called steady-states. Our main result states that for a cyclic chemical reaction net- work, there is a straightforward characterization for when a ...
A Study of Edge Toric Ideals using Associated Graphs
This thesis studies properties of edge toric ideals and resolutions by analyzing the associated graphs of algebraic structures. It mainly focused on proving that the repeated edges in a graph wouldn't change some properties ...