A Study of Edge Toric Ideals using Associated Graphs

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Date

2012-04-26

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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.

Type

Honors thesis

Department

Mathematics

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Commutative Algebra, Mathematics, Graph, Ideal

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https://hdl.handle.net/10161/5237

Citation

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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Undergraduate Honors Theses and Student papers
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