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arXiv · 2506.17628

The characteristic polynomial of sunflowers

Changjiang Bu·Lixiang Chen·Ge Lin
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Abstract

A uniform hypergraph is called a sunflower if all of its hyperedges intersect in the same set of vertices. In this paper, we determine the eigenvalues and spectral moments of a sunflower, thereby obtaining an explicit formula for its characteristic polynomial.

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Changjiang Bu, Lixiang Chen, Ge Lin. 2025-06-21. The characteristic polynomial of sunflowers. https://arxiv.org/abs/2506.17628

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