SPECTRAL GAP OF THE DISCRETE LAPLACIAN ON TRIANGULATIONS

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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https://hal.archives-ouvertes.fr/hal-02162835
Contributor : Yassin Chebbi <>
Submitted on : Thursday, July 11, 2019 - 9:50:10 AM
Last modification on : Saturday, July 13, 2019 - 1:22:46 AM

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  • HAL Id : hal-02162835, version 1
  • ARXIV : 1907.05619

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Yassin Chebbi. SPECTRAL GAP OF THE DISCRETE LAPLACIAN ON TRIANGULATIONS. 2019. ⟨hal-02162835⟩

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