What type of study is this?

This is a Quantitative Study study.

October 3, 2025Open Access

Eigenvalues of the discrete p-Laplacian via graph surgery

Key Points

Eigenvalues are characterized as critical values of parameter-dependent eigenvalues of simpler graphs.
Perturbation theory applied incorporates edge cuts to analyze the signed p-Laplacian's behavior.
The method utilizes graph surgery techniques to explore eigenvalue modifications with structural changes.
Insights gained may improve understanding of eigenvalue relationships in various mathematical and engineering applications.

Abstract

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.

Read Full Paperexternally

Bookmark

View Full Paper

Cite This Study

Berkolaiko et al. (Mon,) studied this question.

synapsesocial.com/papers/68e02f40f0e39f13e7fa2844 https://doi.org/https://doi.org/10.48550/arxiv.2509.06686

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

Bookmark

View Full Paper