8 citations · 9 across the 2 of their papers we have counts for
5 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…
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…
Non self-adjoint laplacians on a directed graph
Marwa Balti
We consider a non self-adjoint Laplacian on a directed graph with non symmetric edge weights. We analyse spectral properties of this Laplacian under a Kirchhoff assumption. Moreove…
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…
On the eigenvalues of weighted directed graphs
Marwa Balti
This paper deals with spectral graph theory issues related to questions of monotonicity and comparison of eigenvalues. We consider finite directed graphs with non symmetric edge we…