- Matroids and the Correlation Constant
- Project Year:
2018
- REU Student (s):
Pejmon Shariati | Rutgers University-New Brunswick NJ
- Student 1 Institution:
Rutgers University-New Brunswick
- Project Mentor:
Nicola Tarasca
- Project Mentor Area:
Mathematics
- Project Abstract:
Matroid Theory is one of the current hot topics in the mathematics world. My project is to gain a better understanding of them so that I may help solve some of the still unsolved conjectures. My goal for this summer was to become fluent in understanding the correlation constant of a matroid, a field, or graph. The correlation constant explains how the edges in a graph or the column vectors in a vector space configuration are correlated. We study different matrices and matroids and find correlation constants greater than 1 to improve the lower bound of the correlation constant for any field F.
