THE DISCRETE LAPLACIAN OF A 3-SIMPLICIAL COMPLEX
Azeddine Baalal, Khalid Hatim · HAL (Le Centre pour la Communication Scientifique Directe) · 2019
In this paper, We introduce the notion of oriented tetrahedrons especially tetrahedrons in a connected oriented locally finite graph. This framework then permits to define the Laplace operator on this structure of the 3-simplicial complex. We develop the notion of X-completeness for the graphs, based on the cut-off functions. Moreover, We study essential self-adjointness of the discrete Laplacian from the X-completeness geometric hypothesis .