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math.SP2018
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…
math.SP2013
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…