The characteristic polynomial of sunflowers
Combinatorics
2025-06-24 v1
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.
Cite
@article{arxiv.2506.17628,
title = {The characteristic polynomial of sunflowers},
author = {Changjiang Bu and Lixiang Chen and Ge Lin},
journal= {arXiv preprint arXiv:2506.17628},
year = {2025}
}