Spectral Gap of The Discrete Laplacian On Triangulations

Yassin Chebbi

doi:10.1063/1.5115778

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arXiv · 1907.05619

Spectral Gap of The Discrete Laplacian On Triangulations

Yassin Chebbi

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Abstract

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 is given by generalizing the Cheeger constant. The lower estimate is obtained from the first non-zero eigenvalue of the discrete Laplacian acting on the functions of certain sub-graphs.

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BibTeX RIS

Yassin Chebbi. 2019-07-12. Spectral Gap of The Discrete Laplacian On Triangulations. https://doi.org/10.1063/1.5115778

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