4 papers
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…
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…
M-accretive Laplacian on a non symmetric graph
Colette Anné, Marwa Balti, Nabila Torki-Hamza
We consider a non self-adjoint Laplacian on a directed graph with non symmetric weights on edges. We give a criterion for the m-accretiveness and the m-sectoriality of this Laplaci…
Sectoriality and essential spectrum of non symmetric graph Laplacians
Colette Anné, Marwa Balti, Nabila Torki-Hamza
We consider a non self-adjoint Laplacian on a directed graph with non symmetric edge weights. We give necessary conditions for this Laplacian to be sectorial. We introduce a specia…