42 citations · 42 across the 4 of their papers we have counts for
8 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…
The Gauß-Bonnet operator of an infinite graph
Colette Anné, Nabila Torki-Hamza
We propose a general condition, to ensure essential self-adjointness for the Gauß-Bonnet operator, based on a notion of completeness as Chernoff. This gives essential self-adjointn…
Essential self-adjointness for combinatorial Schrödinger operators I- Metrically complete graphs
Nabila Torki-Hamza
We introduce the weighted graph Laplacian and the notion of Schrödinger operator on a locally finite weighted graph. Concerning essential self-adjointness, we extend Wojciechowski'…
Essential self-adjointness for combinatorial Schrödinger operators III- Magnetic fields
Yves Colin De Verdière, Nabila Torki-Hamza, Francoise Truc
We define the magnetic Schrödinger on an infinite graph by the data of a magnetic field, some weights on vertices and some weights on edges . We discuss essential self-adjointness…
Essential self-adjointness for combinatorial Schrödinger operators II- Metrically non complete graphs
Yves Colin De Verdière, Nabila Torki-Hamza, Francoise Truc
We consider weighted graphs, we equip them with a metric structure given by a weighted distance, and we discuss essential self-adjointness for weighted graph Laplacians and Schrödi…