The authors establish new bounds on the Urschel number for graph Laplacian eigenvectors, including controls for multiple eigenvalues and classifications of zero vertices as shallow or deep.
Uhlenbeck, Generic properties of eigenfunctions, Amer
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Urschel Nodal Domains via Perturbation Theory
The authors establish new bounds on the Urschel number for graph Laplacian eigenvectors, including controls for multiple eigenvalues and classifications of zero vertices as shallow or deep.