A graph without zero in its spectra

2024/06/06 by Anné, Colette, Ayadi, Hela, Balti, Marwa +1
#FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2406.03788

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.

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