The discrete Laplacian of a 2-simplicial complex
Spectral Theory
2018-02-26 v1 Functional Analysis
Abstract
In this paper, we introduce the notion of oriented faces especially triangles in a connected oriented locally finite graph. This framework then permits to define the Laplace operator on this structure of the 2-simplicial complex. We develop the notion of -completeness for the graphs, based on the cutoff functions. Moreover, we study essential self-adjointness of the discrete Laplacian from the -completeness geometric hypothesis.
Keywords
Cite
@article{arxiv.1802.08422,
title = {The discrete Laplacian of a 2-simplicial complex},
author = {Yassin Chebbi},
journal= {arXiv preprint arXiv:1802.08422},
year = {2018}
}