The Largest Laplacian and Signless Laplacian H-Eigenvalues of a Uniform Hypergraph

Shenglong Hu, Liqun Qi, Jinshan Xie

In this paper, we show that the largest Laplacian H-eigenvalue of a $k$-uniform nontrivial hypergraph is strictly larger than the maximum degree when $k$ is even. A tight lower bou…