Full metadata
Title
Multidegrees of Binomial Edge Ideals
Description
We studied binomial edge ideals, which are at the intersection of graph theory and abstract algebra. Our focus was the multidegrees of these ideals, which contain valuable geometric information. We proved algebraic results that allowed us to write a closed formula for the multidegree of the binomial edge ideal of a graph based on combinatorial properties of the graph. Then we discovered methods to make the process more efficient. We concluded our research by using our results to find the multidegrees of the binomial edge ideals of many families of graphs.
Date Created
2024-05
Contributors
- Leventhal, Ethan (Author)
- Montaño, Jonathan (Thesis director)
- Jiang, Zilin (Committee member)
- Barrett, The Honors College (Contributor)
- School of Mathematical and Statistical Sciences (Contributor)
Topical Subject
Resource Type
Extent
12 pages
Copyright Statement
In Copyright
Primary Member of
Peer-reviewed
No
Open Access
No
Series
Academic Year 2023-2024
Handle
https://hdl.handle.net/2286/R.2.N.192687
System Created
- 2024-04-13 01:06:04
System Modified
- 2024-05-15 07:04:57
- 6 months 1 week ago
Additional Formats