A Study of Edge Toric Ideals using Associated Graphs
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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.
Shen, Yingyi (2012). A Study of Edge Toric Ideals using Associated Graphs. Honors thesis, Duke University. Retrieved from https://hdl.handle.net/10161/5237.
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