A Study of Edge Toric Ideals using Associated Graphs
| 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.department | Mathematics | |
| 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. | |
| dc.identifier.uri | ||
| dc.language.iso | en_US | |
| dc.subject | Commutative Algebra | |
| dc.subject | Mathematics | |
| dc.subject | Graph | |
| dc.subject | Ideal | |
| dc.title | A Study of Edge Toric Ideals using Associated Graphs | |
| dc.type | Honors thesis |
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