Sampling the eigenvalues of a graph


BAŞKAYA E., Boumenir A.

Sampling Theory, Signal Processing, and Data Analysis, vol.21, no.1, 2023 (Scopus) identifier

Abstract

We are concerned with the computational aspects of eigenvalues of a simple graph made of Sturm–Liouville operators on its edges. We show how the sampling method not only helps to compute effectively its eigenvalues and but also to locate double eigenvalues. This helps to design better graph type structures by predicting and avoiding resonance, and unwanted vibrations.