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dc.contributor.author Shen, Yingyi
dc.date.accessioned 2012-04-26T11:58:19Z
dc.date.available 2012-04-26T11:58:19Z
dc.date.issued 2012-04-26
dc.identifier.uri http://hdl.handle.net/10161/5237
dc.description Senior Thesis en_US
dc.description.abstract 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. en_US
dc.language.iso en_US en_US
dc.subject Commutative Algebra en_US
dc.subject Mathematics en_US
dc.subject Graph en_US
dc.subject Ideal en_US
dc.title A Study of Edge Toric Ideals using Associated Graphs en_US
dc.department Mathematics en_US

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