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.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