A graph without zero in its spectra
Spectral Theory
2024-06-07 v1
Abstract
In this paper we consider the discrete Laplacian acting on 1-forms and we study its spectrum relative to the spectrum of the 0-form Laplacian. We show that the non zero spectrum can coincide for these Laplacians with the same nature. We examine the characteristics of 0-spectrum of the 1-form Laplacian compared to the cycles of graphs.
Keywords
Cite
@article{arxiv.2406.03788,
title = {A graph without zero in its spectra},
author = {Colette Anné and Hela Ayadi and Marwa Balti and Nabila Torki-Hamza},
journal= {arXiv preprint arXiv:2406.03788},
year = {2024}
}