Mathematics, Electrical and Computer Engineering
Journal or Book Title
Pure and Applied Functional Analysis
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.
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.