arXiv Analytics

Sign in

arXiv:1502.06475 [math.CO]AbstractReferencesReviewsResources

Some bounds on the eigenvalues of uniform hypergraphs

Xiying Yuan, Man Zhang, Mei Lu

Published 2015-02-17Version 1

Let $\mathcal{H}$ be a uniform hypergraph. Let $\mathcal{A(H)}$ and $\mathcal{Q(H)}$ be the adjacency tensor and the signless Laplacian tensor of $\mathcal{H}$, respectively. In this note we prove several bounds for the spectral radius of $\mathcal{A(H)}$ and $\mathcal{Q(H)}$ in terms of the degrees of vertices of $\mathcal{H}.$

Related articles: Most relevant | Search more
arXiv:1605.01750 [math.CO] (Published 2016-05-03)
Some results on the spectral radii of uniform hypergraphs
arXiv:1807.08112 [math.CO] (Published 2018-07-21)
On the $α$-spectral radius of uniform hypergraphs
arXiv:2205.15502 [math.CO] (Published 2022-05-31)
The trace and Estrada index of uniform hypergraphs with cut vertices