Browsing by Author "Shen, Yingyi"

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    A Study of Edge Toric Ideals using Associated Graphs
    (2012-04-26) Shen, Yingyi
    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 of its underlying algebraic structure. An application of this result is that when we study multi-edge graphs, we can simplify in nite numbers of graphs to a simple one by deleting all the repeated edges.