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math.SP2019★ 1 cited
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…