arXiv Open Access 2019

Spectral Gap of The Discrete Laplacian On Triangulations

Yassin Chebbi

Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

math.SP

Penulis (1)

Yassin Chebbi

Format Sitasi

APA MLA BibTeX

Chebbi, Y. (2019). Spectral Gap of The Discrete Laplacian On Triangulations. https://arxiv.org/abs/1907.05619

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2019
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓