3 papers
math.CO2021
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…
math.SP2019
Spectral Gap of The Discrete Laplacian On Triangulations
Yassin Chebbi
Our goal in this paper is to find an estimate for the spectral gap of the Laplacian on a 2-simplicial complex consisting on a triangulation of a complete graph. An upper estimate i…
math.SP2018
The discrete Laplacian of a 2-simplicial complex
Yassin Chebbi
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 operat…