Campus Units
Mathematics
Document Type
Article
Publication Version
Submitted Manuscript
Publication Date
2018
Abstract
We establish new bounds on the minimum number of distinct eigenvalues among real symmetric matrices with nonzero off-diagonal pattern described by the edges of a graph and apply these to determine the minimum number of distinct eigenvalues of several families of graphs and small graphs.
Language
en
File Format
application/pdf
Recommended Citation
Bjorkman, Beth; Hogben, Leslie; Ponce, Scarlitte; Reinhart, Carolyn; and Tranel, Theodore, "Applications of analysis to the determination of the minimum number of distinct eigenvalues of a graph" (2018). Mathematics Publications. 171.
https://lib.dr.iastate.edu/math_pubs/171
COinS
Comments
This is a pre-print of the article Bjorkman, Beth, Leslie Hogben, Scarlitte Ponce, Carolyn Reinhart, and Theodore Tranel. "Applications of analysis to the determination of the minimum number of distinct eigenvalues of a graph." arXiv preprint arXiv:1708.01821 (2017).