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.

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).

Language

en

File Format

application/pdf

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