On the spectral radius of nonregular uniform hypergraphs

Abstract

Let $G$ be a connected uniform hypergraphs with maximum degree $\Delta$, spectral radius $\lambda$ and minimum H-eigenvalue $\mu$. In this paper, we give some lower bounds for $\Delta -\lambda$, which extend the result of [S.M. Cioabă, D.A. Gregory, V. Nikiforov, Extreme eigenvalues of nonregular graphs, J. Combin. Theory, Ser. B 97 (2007) 483-486] to hypergraphs. Applying these bounds, we also obtain a lower bound for $\Delta +\mu$.

References in corpus (2)

• Connected Hypergraphs with Small Spectral Radius
• Analytic connectivity of $k$-uniform hypergraphs