The characteristic polynomial of sunflowers

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.

Publication Details

Journal
ArXiv.org
Published
2025-06-21
Primary Topic
Graph theory and applications
Type
article
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article

The characteristic polynomial of sunflowers

ArXiv.org
Graph theory and applications
article

The characteristic polynomial of sunflowers

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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.

ArXiv.org
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Graph theory and applications
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The characteristic polynomial of sunflowers · ArXiv.org (2025) | TGRS Research Map | TGRS