Perturbation theory reveals eigenvalue dynamics of the signed p-Laplacian via graph surgery, suggesting new analytical insights.
We develop a Hellmann--Feynman type perturbation theory for the discrete signed p-Laplacian and apply it to a parametrized perturbation by edge cuts. We show that the eigenvalues of the signed p-Laplacian can be characterized as citical values of the parameter-dependent eigenvalues of a simpler graph.
No takes yet. Share an insight, caveat, or question.
Berkolaiko et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: