Applications of analysis to the determination of the minimum number of distinct eigenvalues of a graph
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2018-01-01
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Hogben, Leslie
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Mathematics
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Electrical and Computer EngineeringMathematics
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.
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This is a manuscript of an article published as 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." 3, no. 4 Pure and Applied Functional Analysis (2018): 537-563. Posted with permission.
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Mon Jan 01 00:00:00 UTC 2018