3 papers
math.SP2024
A graph without zero in its spectra
Colette Anné, Hela Ayadi, Marwa Balti +1
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 ca…
math.CO2021
Self-adjointness of magnetic laplacians on triangulations
Colette Anné, Hela Ayadi, Yassin Chebbi +1
The notions of magnetic difference operator defined on weighted graphs or magnetic exterior derivative are discrete analogues of the notionof covariant derivative on sections of a…
math.FA2016
Semi-Fredholmness of the discrete Gauss-Bonnet Operator
Hèla Ayadi
In the context of an infinite locally finite weighted graph, we give a necessary and sufficientcondition for semi-Fredholmness of the Gauss-Bonnet operator. This result is a discre…