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arXiv · 2303.13145

Normalized Laplacian eigenvalues of hypergraphs

Leyou Xu·Bo Zhou
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Abstract

In this paper, we give tight bounds for the normalized Laplacian eigenvalues of hypergraphs that are not necessarily uniform, and provide an edge version interlacing theorem, a Cheeger inequality, and a discrepancy inequality that are related to the normalized Laplacian eigenvalues for uniform hypergraphs.

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Leyou Xu, Bo Zhou. 2025-04-13. Normalized Laplacian eigenvalues of hypergraphs. https://arxiv.org/abs/2303.13145

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