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math.CO2023
The Spark of Symmetric Matrices Described by a Graph
Louis Deaett, Shaun Fallat, Veronika Furst +3
We investigate the sparsity of null vectors of real symmetric matrices whose off-diagonal pattern of zero and nonzero entries is described by the adjacencies of a graph. We use the…
math.CO2023★ 1 cited
Regular Graphs of Degree at most Four that Allow Two Distinct Eigenvalues
Wayne Barrett, Shaun Fallat, Veronika Furst +3
For an matrix , let be the number of distinct eigenvalues of . If is a connected graph on vertices, let be the set of all real sy…