Affiliation:
1. Université de Nantes, Laboratoire De Mathématiques Jean Leray, Unité de recherche Mathématiques et applications (UR/ES) à la faculté des sciences de Bizerte, Nantes, France
Abstract
In the context of an infinite locally finite weighted graph, we give a
necessary and sufficient condition for semi-Fredholmness of the Gauss-Bonnet
operator. This result is a discrete version of the theorem of Gilles Carron
in the continuous case [5]. In addition, using a criterion of Anghel [2], we
give a sufficient condition to have an operator of Gauss-Bonnet with closed
range. Finally, this work can be considered as an extension of the work of
Colette Ann?e and Nabila Torki-Hamza [3].
Publisher
National Library of Serbia