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arXiv · 2306.16771

The algebraic multiplicity of the spectral radius of a hypertree

Lixiang Chen·Changjiang Bu
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Abstract

It is well-known that the spectral radius of a connected uniform hypergraph is an eigenvalue of the hypergraph. However, its algebraic multiplicity remains unknown. In this paper, we use the Poisson Formula and matching polynomials to determine the algebraic multiplicity of the spectral radius of a uniform hypertree.

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Lixiang Chen, Changjiang Bu. 2023-06-29. The algebraic multiplicity of the spectral radius of a hypertree. https://arxiv.org/abs/2306.16771

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