Some bounds on the eigenvalues of uniform hypergraphs

preprint2015arXivOpen access

Abstract

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

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