The characteristic polynomial of sunflowers

Fuente: arXiv
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Hauptverfasser: Bu, Changjiang, Chen, Lixiang, Lin, Ge
Format: Preprint
Veröffentlicht: 2025
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author Bu, Changjiang
Chen, Lixiang
Lin, Ge
author_facet Bu, Changjiang
Chen, Lixiang
Lin, Ge
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2506_17628
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The characteristic polynomial of sunflowers
Bu, Changjiang
Chen, Lixiang
Lin, Ge
Combinatorics
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.
title The characteristic polynomial of sunflowers
topic Combinatorics
url https://arxiv.org/abs/2506.17628